Totally untrue the Chelsea players supposedly were reporting discontent with Lampard with club hierarchy if news is correct alongside the same thing happening under Mourinho. I think the temperament in the modern game for players is completely different to the past. No matter how it's explained managers are more disposable than the players.
Player power exists to some extent at every successful club.
As Roy Keane once said you don't win titles with choir boys.
Yeah, this probably happens at every big club with star players. It's notorious for Real Madrid or the 90s teams of Bayern, and even recently Uli Hoeneß told the story of how Ribéry called him angrily to complain after every single game he was subbed off (no matter the coach).
We never know what's really going on, what's made up and what's blown out of proportion, but what could clearly be seen was how Lampard took the approach to put himself above the players in his public interviews; to make clear that they had to reach a level where he already exists; everyone noticed that and everyone could guess that it might spell trouble for him, considering he could hardly hide he was learning on the job, too.
So in a way, it was Lampard who insisted on a kind of publicly fought out struggle players vs manager, and if I had to guess why he did that, I'd say he thought it was the best way to make clear the ambitions he wanted to set, and to actively welcome and approve an atmosphere of pressure to win.
I could imagine that since he couldn't draw on experience in how to handle a group of players (as he has none), in terms of the balance of cuddling/supporting/protecting them and provoking/challenging/being demanding of them, he modeled his public approach on that of Mourinho, the manager who embodies success at Chelsea and always takes great care to cultivate the image of being a winner who demands only the best.
Problem is 1) he is no Mourinho and hasn't the record to point to 2) this works not even for Mourinho if you can't simultaneously produce clear solutions for the players on the training ground and in coaching.
And in the end, like with Mourinho, he came across like it hurt his ego that the players weren't as successful as he deserved, which just doesn't fly.
But sooner or later, also Tuchel will run into trouble, he's got it in him too.