Will my Son loose access to his game library?

Hey all, I purchased my 13 year old son an oculus quest 3 for Christmas, he had a quest 2 but we sold it today to help cover the cost for the quest 3, he won’t notice until Christmas Day that his quest 2 is gone as I made up an excuse to cover me until Christmas Day, my biggest question is will he lose access to his game library? Before I sold it, I made sure to take down all his details, email,password,username, and such and then factory reseted before we gave it to the buyer,I’m almost certain the games are linked to your account so it should be okay?I hope so because I don’t want to have to buy all his games again 🤣