It is not without risk to drill the screw out. To a handy person like myself it would not be a large issue, but to a young mind, there are many ways this could go wrong. I suggest not doing that unless you are willing to lose all hardware involved if things go wrong.
You know what else is super easy? Fixing a joycon's drift(that I hear whined about incessantly, but has been a total non-issue for me due to my repair skills). I can do so with contact cleaner and a tooth pick unless the wear is crazy excessive. However, I won't be suggesting anyone else do that either, because there are....ahem...inexperienced users that will find a way to fuck things up and my solutions need to work for everyone.
Never underestimate the ability of someone to fuck something super simple like that, completely up. Consider abandoning the SSD, I'm just saying, if you don't remember the early 2000s because you were too young, maybe just use the expanded storage already on the new console and consider the stranded SSD an invaluable lesson well purchased.
These projects are the domain of middle aged man.
If the very first thing that jumps to your mind about drilling out the screw inside your PS5 is not about collecting the drill shavings and keeping them out of the console, for example, back away slowly.
If anyone tells you it is simple, ask them to drill out a sample screw in their new pro and post them drilling out the screw in their new console to show how it is done. They won't do it.