AndrejS

Hey Stokerg, 
 
that's what i was looking for yesterday, when i wanted to get rid of hue, that remained after object removal from photo. Frequency separation is a great tool, mostly overlooked by us, newbies. 

Good evening.
Yes! Works well too, but it's good to allow AndrejS to discover other methods.

Hi Andrej, you can do this in Photo using Snapshots and the Undo Brush. Photo's Snapshots panel is very similar to the History panel in Photoshop. There's a video that covers using Dust & Scratches and the Undo Brush, but it's not as in depth as the video you linked to:
 
 
It doesn't use Snapshots for one, so to emulate the workflow you're trying to follow, try this:
Go to View>Studio>Snapshots to expose the Snapshots panel. Click Add Snapshot (second camera button) and name it Sharp. Run the Dust & Scratches filter (under Filters>Noise) using appropriate settings. You can do this on a duplicated layer if you wish. Add another snapshot and call it D&S. Click and select the Sharp snapshot, then choose Restore Snapshot (first camera button). Select the Undo Brush from the Tools Panel on the left (it's just underneath the Clone Tool) and set your desired blend mode settings (she uses Darken and Lighten for example). In the Snapshots list, click the little grey camera icon to the left of the D&S snapshot. This will set it as the active snapshot. You should now find when you hover over the image that the Undo Brush reveals areas from the D&S snapshot, just like in the video. Now you can just paint away and retouch the image quickly.  
A couple of pointers:
The Undo Brush has a default Hardness of 80%. For smoother retouching you might consider setting this to 0%. You can always swap the layers for retouching. So you could work off the Dust & Scratches layer and instead choose to restore sharp areas from the Sharp snapshot. That might seem quicker and more intuitive depending on the image you're working on.  
Hope that helps! And it might also be time for an update to that tutorial

Rather than messing around with History and Snapshots, you can do exactly the same thing in Photo (much more easily) with a couple of Dust and Scratches Filter layers using Photo's built in layer masking.
 
Apply a Dust and Scratches Filter layer . Layer > New Live Filter Layer > Dust & Scratches Filter
 
Adjust the Radius and Tolerance, like in the video.
 
Set the Blend Mode to Lighten. (see bottom right of panel)

 
Select the filter layer by clicking on the thumbnail (not the layer) and invert it (Layer > Invert) so no filter is applied. Then, paint on the Dust and Scratches layer with white paint where needed to get rid of the dark spots. 
 
Repeat with another Dust and Scratches layer, but use Darken Blend Mode to get rid of the light spots..

This shows darken mode to get rid of white spots.
 
 
Bear in mind too that layers can be copied. If you have a lot of photos to do, create and adjust the Dust & Scratches layers and before you paint on them, copy and past them into a blank document, or another photo you wish to edit. There is a good chance the values will work for some of them, but if not it saves you having to create, adjust and invert the layers each time. Just double click to adjust the Dust and Scratches values (if necessary) and paint on.