I will say, sending in a broken Switch Lite, to Nintendo to repair, and THEN trying to get all the games back on it, (the digital downloads) is a GIANT PITA. Goat simulator is one specific one. They didn't erase her account, ect, it was a display issue, that they didn't warranty, even tho I could not see signs of physical damage externally. Anyway it was I think 112 dollars. maybe 89 plus shipping. They said they found physical damage.
I made her ( the youngest) go without it all the way till XMAS, to try and teach a lesson. I digress.
My son who is more in tune with Nintendo's system, was able to regain access to that particular game. It was available on the control account, but not the supervised.
Also watch out for them being able to DL youtube. This has also been a PITA for me to monitor.
My thoughts are once they are able to download it they can re download it without consent. I might be confusing with Google play though. The family link app.