Using New Outlook on Windows for personal email, calendar, and contact management
-- Invite Response
I just tested sending an invite to an IMAP Account in New Outlook for Windows and I can confirm that there are no response buttons.
This appears to be a known change/bug in recent New Outlook for Windows releases.
-- I can’t even switch back to Classic Outlook
Can you give us any additional details on this? Is the "New Outlook" toggle switch disabled, or not visible?
This Slipstick article has some other tips on setting Outlook to always use Classic.
https://www.slipstick.com/outlook/classic-outlook-not-new-outlook/