It worked from both my wife and daughter (who I removed at some point after which they were not able to receive the invitation anymore).
In addition to the above, I actually uninstalled and reinstalled the home app, removing all data too.
In details
- From the home app of the, remove any empty home and close+kill the home app
- Uninstall the home app and remove all the data from the dashboard
- Reinstall the home app from the App store. Do not open it
- Download and install the http://appldnld.apple.com/iOSProfiles/HomeKitReset.mobileconfig profile as above
- Reset the home data from the preference app
- Wait some minute
- Open the home app from the dashboard and wait some minute
- Resent the invite from the home owner phone (eventually removing the pending invite)
That worked for both my wife and daughter phones. It took a while to get the system back, and I possibly repeated the reset a couple of times.
I did not reset mine so I didn't loose any information.
Note that before doing that I tried all possible stuff (logout/login again from/to iCloud, remove people from family sharing, check that all emails were correct in contacts, disable/enable the home from iCloud, turn off/on whatever, change appleID email on my account, ...,). Nothing worked until the procedure above.
Note that my phone was able to send invitation to other people. And both my wife's and daughter's phones were NOT able to receive any invitation (neither from my phone, nor from other people). They were also not able to send invitation (from their "empty" home).