Certainly, both men feel hard done by. Fati believes he should have been given more opportunities to prove his worth to Barca, and it's been reported that he turned down moves during the winter window on the misguided presumption that more game time was coming his way during the second half of the season, while Pogba has publicly berated Juve for a perceived lack of support during his doping ban.
Fati obviously has youth on his side. As even Barca sporting director Deco pointed out, "We talk about him as if he were 30, but he still has to grow and he still has a lot to learn." Monaco appears the ideal environment for Fati to do both - if he can stay fit (and that's a really big 'if').
As for Pogba, he won't get a better offer from a sporting perspective, given the incredible amount of baggage he brings with him everywhere he goes.
He could have made more money moving to the Middle East or MLS, but he clearly feels that he can not only re-establish himself as a major force in European football, but also propel himself back into the France fold in time for the 2026 World Cup by becoming the leader of an exciting young team that will be once again playing Champions League football next season.
"I am mentally and physically ready," he told TF1, "and I can't wait to start again, at 32, as if I were still a kid."
Of course, immaturity remains Pogba's principal problem, which explains precisely why Juve were so keen to cancel his colossal contract and why none of Europe's elite are willing to go near him even though he's a free agent.
Just like Fati, though, Pogba represents a low-risk signing that could pay seriously high dividends for Monaco. Indeed, while Hutter says that he is "more of a development coach" than "a fire fighter", these are two players well worth trying to rescue.