No, but I don't think de Jong doesn't wanna play for us.
I believe he'd prefer to stay at Barca in a perfect World, however due to his dream going tits up he'll be delighted to be back playing with a manager he has a great relationship, he'll be delighted to play in his preferred position (something he hinted at in a recent Netherlands post match interview) and he'll love being at a super club.
In much the same way Robben didn't wanna leave Madrid, yet took the Bayern opportunity with both hands, loved his career there and ended up a Bayern legend.
To be honest, I wouldn't be surprised if he'd want to leave a place that still forcefully plays a Busquets who's sleepy during half the games, but it gets forgotten after highlighting one game where he plays well again. When he was bought it seemed their plan was to put him next to Busquets who was already heading in a less consistent direction, slowly phasing him out, but they won't replace him for another 5 years it seems
Xavi seems to be hinting at it, but it was kinda sad how previous coaches seemed to afraid to take off Pique and Busquets. When Pique returned from injury last season, their entire structure broke down, which they just seemed to gain under Koeman (sometime mid-season). I know hierarchy tends to help a lot of teams, but Pique's impatience and non-composed behaviour towards his teammates and Busquets' inconsistency really seems to hold them back a lot (imo).
Hope Frenkie gets to show his skills at Man Utd, he can do a lot and while I thought he'd have great assets for an Iniesta-type role, the left half of a midfield two(ish) really seems to turn him into a world beater. He can do a job at 8-10 type roles, but you can see his instincts drag him elsewhere too much in many games. Allow his instincts to rule and he will be excellent.
So even if Barça is treating him horribly, I wouldn't be surprised to see him want to move to a club and coach that will use him to his skills rather than trying to fit the Frenkie triangle into an Iniesta square. Hey look, there's a 4-2-3-1 club who just assigned ETH.