I've search the forum to see if this was addressed and didn't find anything yet.
I have a number of fonts that will not render at all and are replaced with Arial across Publisher and Designer. When I open up the Font Manager in Publisher, it says that there are unsupported characters. However, I did notice that if I attempt to set up a Character Style, the font is rendered correctly in the browser. Additionally, if I activate the Glyph panel, the font appears correctly and, though time consuming, can be applied.
I saw mention that Variable and SVG types weren't supported but I'm not exactly sure how to check that. The attached image show a list of some of the affected fonts (Arial is just a baseline) and how it appears when viewing the Character Style.