Annother

Most of those are related to the lack of database/server connectivity. Pinegrow does have a similar project manager as Wappler, although Wappler can use FTP to connect with your webhost folder.
I did try out Wappler, and the GUI is still very VERY behind compared to Pinegrow. For example, in Pinegrow the same page or different pages can be viewed for various devices simultaneously, side by side. The interface in Wappler is almost completely static, and panels cannot be moved around. The styling controls in Pinegrow are far more user friendly and better exposed for CSS than the ones in Wappler.
It is one thing to compare and cherry pick base features between applications, but an altogether different thing to actually experience how these are implemented, and how the overall workflow and GUI respect the user's preferences. Pinegrow is light years ahead of Wappler in terms of configuration. And supports a live connection with Atom and MS Visual Studio Code for code editing. And many more things related to front-end development which are unavailable in Wappler.
The main difference between the two is that Wappler can connect to live data in a database, which Pinegrow cannot. However, Pinegrow does support direct WordPress theming in the WP edition, which allows for quick WP theming, and via WordPress data does become live. Wappler does not support WordPress. Via WordPress a tremendous library of free and commercial plugins for just about any requirement opens up. While Wappler allows the user to create their own custom database functionality, in comparison the WP ecosystem delivers just about any database functionality you would ever need. And WordPress delivers a user-friendly back-end interface out of the box, while in Wappler you would have to develop it yourself (and you'd never be able to match it on your own).
Pinegrow's WP edition supports custom data bindings through the Advanced Custom Fields WordPress plugin (which then pretty much delivers what Wappler delivers). But getting this far with the WP edition requires a good understanding of how WP theming works. Wappler is much easier to understand and learn in this respect.
So it really depends on what your needs are. Pinegrow is a much more mature application, in particular for front end development and its interface and workflow is quite flexible and adaptable to users' preferences, and Wappler offers custom database connectivity, but as an application still needs a lot of growing up in my opinion.
In short, don't rely on those cherry-picked feature comparison lists from either side. Test for yourself, and allow for a week of testing for each product.

Wappler is subscription based, Pinegrow offer a Onetime Payment option with 1 year of free updates and I quote...
What it doesn't say at Pinegrow is if the renewal is at a discount or you pay the full price again in which case its more akin to an annual subscription. 

Sparkle is Mac-only, but Wappler looks interesting. Although I like what I’ve seen of Pinegrow, I noticed that Wappler’s feature comparison chart has rather a lot of ‘No’ entries in the Pinegrow column!

You have several options open to you, with (1) being the closest to WebPlus in regards to workflow, to (6) being the least similar:
Xara Designer Pro or Xara Web Designer (Premium). These offer a way of working that is closest to Webplus: completely visual, and pretty much a regular Publisher type layout application, which converts directly to a working website. Responsive pages are also possible. Sparkle. Not as flexible as either WebPlus or Xara, but no code in sight. And generates quite acceptable code. Around $99 for the pro version. Mac only.
https://sparkleapp.com/ Wappler. Still completely visual, although works with blocks. Also supports full database-driven websites. Free version, up to 49 euros per month for the full version. Service based, no full license, unfortunately.
https://wappler.io/index Pinegrow. The next step "up" from a typical visual design tool which actually works directly with html and css code, and outputs human readable code that actually is quite clean. The workflow is different though. It is column and row based, and the html and css code is accessible and directly exposed to the user through its interface. Basic knowledge of html and css is preferred. $99 for the pro version, which is really needed for multi-page sites.
https://pinegrow.com/ WordPress. The upcoming v5 version will include the new Gutenberg editor, and introduce easier visual editing of content. Or download a visual editor plugin such as Elementor. Free for the most part. Learn to code html and css properly, in combination with a grid framework such as Bootstrap or Foundation. Free! Xara Designer Pro was up for grabs for $15 a while ago through a Humble Bundle, but that deal is sadly over. $99 for the Web Designer Premium version, or $299 for Xara Designer Pro.
Personally, I feel Pinegrow is THE best visual WYSIWYG web page editor on the market today, but it does require some html and css knowledge. If the prospect of coding puts you completely off, then try option (1), (2), or (3). All have free versions or a trial (Xara).
WordPress doesn't require coding either, but you do need either online hosting, or a local webserver to run it on.
PS many online visual website editors have vied for attention since the demise of Adobe Muse. All of these only work online in a browser and require a subscription/monthly rent. I would avoid these myself

I presume you want to get away from being restricted to building static sites, with the provision of a mobile version involving twice the work to build and maintain. Take a look at the 30-day trial of WYSIWYG Web Builder from Pablo Software Solutions: you design the basic layout and set a few breakpoints, and the software does much of the donkey work to create an adaptive website.

WebPlus should work into the future just fine. There is no compelling reason to switch right away.
Serif has written they have no plans (at least at this time) to produce anything that can build web sites.

This is a simple website creator for on the server: Can be a local server.
https://www.alohaeditor.org/
Regards,
David

Annother
Publisher is a desktop publisher not a website creator. As Mike W says we do not have plans to make another web creation app