The only Trek series to have a lot of studio(attempted) tinkering was Enterprise, and even then, it wasn't until the second or third season, and most of it was ignored. Of the 4 previous series, Berman was both overseer and protector.
The opposite, actually. The studio's biggest tinkering with ENT was in its first season. Berman & Braga wanted to do something really different from what they'd done on
Voyager. They were talking seriously about making the entire first season about launching the NX-01, with the ship not leaving dock at all for at least several episodes. (Sort of like "First Flight," but a whole season.) The studio, though, was afraid of killing the Trek cash cow (the hour-long standalone space-adventure formula that had already been run into the ground on
Voyager), and so Les Moonves (now head of CBS) and Company forced
ENT to obey the formula.
The result was, IMO, the third-worst season of
Trek ever made (after TNG S1 and DSC S1), put together by producers who seemed clearly disengaged from their own premise, their own universe, and their own characters. I don't know whether the alternative would have been better (heck, it sounds kinda bad to me), but it is sad to watch ENT S1 knowing that the producers had wanted to try something new and didn't get the chance.
It was only when
Enterprise started to collapse that the network edicts loosened, and the show was finally allowed to do a season-long arc in Season 3, when the network was desperate to save the cash cow.
Ironically, something similar happened in Voyager Season 4. There was serious talk of doing an entire "Year of Hell"
season, which is why "Before and After" plays out the way it does, but the suits shut it down and forced it to be a two-parter instead. DS9 was under constant pressure to conform to the hour-long standalone formula, but was allowed to get away with deviating in part because
Voyager was covering for it. Robert Beltran had to suffer in order to let us have Andrew Robinson.
I've no idea whether the suits are micromanaging
Discovery, but Les Moonves was in charge then and he's in charge now, so I would imagine the regime today is pretty similar to the one that governed VOY and ENT.