Mostly — Bookmote works with PocketBook + KOReader, with some known limitations.
Stock PocketBook reading software doesn't respond to any Bookmote key mapping. Installing KOReader on the device instead and setting Bookmote's key mapping to Page Up/Down (not the default arrows) turns pages. Confirmed on an Inkpad 3 Pro; other PocketBook models running KOReader are expected to behave the same.
Source: Reddit r/pocketbook report
Most e-readers put their Bluetooth radio to sleep after a period of inactivity to save battery. If page turns stop responding, tap your e-reader's screen to wake it — Bookmote reconnects automatically once the device is awake.
Bookmote has been confirmed to work with: Apple Books (iOS app), Kindle for iOS (iOS app), Google Play Books (iOS app), Adobe Acrobat (PDF) (iOS app), RIDI (iOS app), Kyobo eBook (iOS app), Millie (iOS app), yes24 (iOS app), Kindle for Android (Android app), Google Play Books (Android) (Android app), Adobe Acrobat (PDF, Android) (Android app), KOReader (Android app), Batcave (comic reader) (Android app).