Hello Martin_Kolembar,
Let's have have the invited user delete unused homes in the Home app, as this may clear up unexpected behavior with receiving the invite. Check out those steps here:
If you can't access a home or accept an invitation in the Home app - Apple Support
"If you can no longer connect to a home, or receive or accept a home invitation, here’s what to do.
- On the invited user's iPhone or iPad running iOS or iPadOS version 16.2, open the Home app and tap the More button
to see a list of homes. - On the invited user's iPhone or iPad, remove homes that don't have accessories. Tap a home to select it, tap the More button
, select Home Settings
, scroll down, and tap Remove Home. If the invited user has a home with accessories, contact Apple Support. - Restart the invited user's and home owner's iPhone or iPad, and restart all Apple TV and HomePoddevices in the home.
- On the home owner's iPhone or iPad, open the Home app and remove any pending invitations to the invited user. Tap the More button
, select Home Settings
, tap the guest's name, and tap Cancel Invitation. - Resend the invitation to share control of the home to the invited user.
Make sure the invited user accepts the invitation within 3 hours or the invitation expires. If the invitation expires, complete steps 3-5 again"
Reach out to Apple Support if the issue persists, as they'll be best equipped to further investigate the behavior. You can use the link above to reach out.
Kind regards.