‘Make my Home Xbox’

That's not how Home Xbox works, and he never had access to your games. Downloading his profile to your Xbox does not give him access to your games on his Xbox.

And deleting his account won't make the game playable by your account; the game is still owned by his account (the licence is attached to his profile), so to play the game he would also need to be logged in on your Xbox while you play.

Changing *your* profile's Home Xbox affects only where the games *you* purchased can be played, it does not allow you to play games that you downloaded using someone else's account.

Here's more information on how the Home Xbox settings actually work:
news.xbox.com/.../xbox-one-digital-games-and-live-gold

This issue is linked with your account, but I just confirmed by calling into Xbox Support that they can reset the "3 time per year" counter associated with the account.

She deleted my gold subscription in the process, but we eventually got everything worked out and I could then set my Xbox back to "my home Xbox".

Hope this helps!

It's currently a known issue with the feature and Xbox are working on a fix.

FYI, ask that they "manually" reset the counter rather than resetting the whole account.

Hi. It is actually linked with your account. Wish I could be more help.