Yeah, it's effectively a broken but incredibly talented team and the best way to manage is to play on the counter a fair bit, like the 2015 Barca CL winning team with Neymar-Suarez-Messi (2/3rds of the same frontline obviously, but 6 years older and less into tracking back or pressing) that I knew (and bet on) would win the final once Juve followed up their equalizer by continuing to try to dominate and push high up and leave themselves open to a counter from that trio.
We should hire Pochettino IF we think he's the man to turn a team with a Greenwood-Rashford-Sancho-Bruno front 4 (maybe Diallo instead of Rashford) and a Varane led backline into a quality team, since that's really all we can be reasonably sure of after next year.
Signing Rice would make a ton of sense if we get Poch, as he would fit what Poch did at Spurs and Southampton well, since Rice can be the DM when he plays 4 at the back and the 3rd CB when he goes to 3 at the back (which he learned from Bielsa). Other things that would seem likely to be replicated are Bruno playing where Eriksen did as a 10 who also gets a lot of time on the right of a midfield 3 with license to get forward. VDB could play the #10 role Deli Alli did when Bruno is more right-sided, with Sancho out left and one of Greenwood or Rashford up top.
So yeah, I wouldn't worry about the PSG stuff too much, if he's hired it should be because we think he's the man to lead our talented forward line and new midfield (maybe one more season of Fred as the 8 playing with a new 6 and Bruno/VDB) over the next few years.
TLDR: We should hire without looking at Poch's PSG time or Cristiano's existence. If the next manager is a success he'll be here for at least 5 years.