Obviously a lot of it is just speculation, like with most behind the scenes stuff.
But there was the infamous Eriksen and Kane interview where Eriksen seemed about as impressed with Sherwood as with a slap to the face.
Vertonghen had a pretty solid falling out with Sherwood by just about all accounts, seemingly carrying over into this season where Sherwood claimed as a pundit that "he can't defend this guy". Vertonghen had a drop in form under AVB, but let's not forget that for the majority of the time under AVB we were very solid at the back.
There were speculations at the time that the more experienced players did not want Sherwood to stay, and from what I remember Eriksen, Vertonghen and Lloris was a part of that. But of course, just speculations. Nothing obvious with Lloris, unlike with the two above (why I put "possibly Lloris" in my post).
I suppose we'll never know for sure. But there seemed to be quite a lot wrong behind the scenes under Sherwood. Despite our good results and improved performances we seemed no closer to keeping him around at any point during his stay. After leaving us with the much reported best points per game of any Spurs manager or whatever it was and significant efforts put into self promotion he's not been able to find a job despite several PL clubs looking.
Yeah OK with verts.... But not sure he is completely wrong about him to be honest. But Erickson.... And that interview.... Really? You to smart for that... There are a million reasons why he may have had the giggles, and not rating Tim is just one of them that fits a certain narrative, fact is that he played possibly his best football for spurs under Tim (although I would say he is now replicating that under pouch, with added work rate), the rest is pure conjecture, surely you see that?