Yes, I believe he would. Just like his players, he wouldn't stand in the way of anybody that wants to leave, he's always maintained that principle.
For his backroom staff, they generally get job upgrades which comes with better pay and they're not on several million a year to turn those chances down lightly.
There's just a handful of people that have decided they don't like his unbothered image he projects and have decided entirely in their own head that he doesn't do anything when the reality is they know absolutely nothing of his work to make those assumptions.
He's been a part of many trophy wins, he's left once and was welcomed back which should show he was highly regarded so let's just thank him for his efforts and wish him well instead of inventing a narrative he wasn't very good at his job.