Hi Andrew,
While your Survey Link doesn't seem to be shared publicly (so I can't access it), I have published by own version of your survey using the XLSForm you attached. I'm not able to reproduce the issue you're describing, everything seems to be working correctly and I am able to see all the map widgets in Survey123 Connect, submit new records using the field app and view the data on the Survey123 website.
I can see how frustrating this would be as your XLSForm looks good to me, and you're really just repeating the same sequence of: Group (page), integer question, repeat containing geopoint question (with integer value used for setting repeat_count).
When you say "do not show anything", do you mean the basemap is not showing? Or no map widget is displayed at all? Are you using the field app or the web app? Are you able to share your existing survey publicly so I can access?
Thanks,
Brett