It seems Adobe Fonts service inconsistently provides OTF features across different apps.

In one particular case, I wanted to use Stylistic Set 02 of IvyPresto Text font (italic cyrillic letters) in a personal web project of mine. They were available in Adobe Illustrator and Adobe Photoshop, but were not possible to choose/activate in Adobe Fonts Web Projects. This inconsistency is pretty annoying as it makes picking the font and relying on it much more difficult.