It would have also worked much better with Q's common refrain that Picard isn't special. Showing that all his other lives would have had equal value, and he just happens in this one to be The Captain.
It's pretty much the same principle as how every major character gets to be a captain of their own ship, "everyone wants to be a manager, and if they don't become one they're underperforming".
True, but that just makes him a weirder choice, because he brings essentially nothing to the story - his character development has been mostly him falling for Lucy, therefore coincidentally doing Good Thing, and looking glum when asked "what if the Brotherhood... is the Brother-no-good?" because his character is written as ignorant and uncommunicative, leaving him incapable of expressing reasons or arguments for his actions (outside of the excellent acting - his expressions as he relishes his newfound power were perfect).
...wait, he's just the first ten minutes of Finn from Star Wars dragged out over a season.