I’ve been watching the TV series Pantheon and I really like it, but this tiny aspect is something I can’t quite grasp. So these people have their minds uploaded to the cloud - and they make a point to state that they’re still “them” - alive, real, authentic. But would it really be like that? The process is brain mapping, so essentially they just make a perfect clone of your brain/mind and run it digitally. But it’s still just a simulation. A perfect clone is still just a clone. The original person is gone. I don’t see the “continuity” aspect.
If this topic interests you and you are into gaming, I highly recommend SOMA
Not video gaming, but the Eclipse phase Rpg went pretty far in that theme, with cortical stack, clones, people living in Virtual spaces and more.
I would recommend the official Fate port, as the main system is way too heavy
Also Citizen Sleeper.
Came here to say exactly this, SOMA is an absolutely amazing game and it’s all about this question.