I saw this exact popup yesterday, I remember seeing something similar to it before but it has been quite a while. The thing is, this single popup broke my computer entirely, I was playing a game and it jumped in front of the game, immediately stole the games inputs and I couldn't even pause it. Then clicking don't switch did absolutely nothing and the popup remained there, and any attempt to forcefully close the popup failed. Also, I was streaming at the time to my tv, and attempting to use any system related screen is blocked (and this popup counts as a system settings screen!), So it just crashed the entire thing while I was trying to dismiss or close it. I was stuck and couldn't even reboot, had to hold the button and lose any progress I had in the game.
So yeah, I would be very interested in not letting this happen again as well.
There are a lot of good jrpg recommendations in this thread, but more focused on the jrpgs of that time. If you are looking for something more recent, I can't recommend Persona 5 enough, you don't need to have played the earlier ones as the stories are independent from each other, it is as good as Chrono Trigger for me, and now quite accessible since persona 5 royal came to pc and all consoles. The recent dragons quest games are also pretty good.