Depends on the person, I guess.
One of the reasons Tuchel fell out with the owners was because they wanted the coach to participate more behind the scenes whereas Tuchel himself only wanted to focus on coaching. When Potter came in and the club also hired Brighton's sporting director to join with him, it looked like the owners had gotten their wish by bringing in a coach who was happy to have an active relationship with the directors but that plan unraveled quickly with Potter's failures as a coach.
With Poch I'm not quite sure how much of a role he has outside of managing the first team but the history with Tuchel/Potter has already shown that the club/directors are at the very least open to the manager having a wider role. In any case the sporting directors will always have final say in decisions like transfers, contract negotiations etc. over the manager but as long as there's an honest and open dialoque between the manager and the background organization I wouldn't necessarily see it as some huge problem.
The days of managers being the top dog at their clubs are more or less over and it's not like Amorim would have full decision making power anywhere else either if/when he makes the step up to any of the bigger clubs.
I always thought new Chelsea owners were quite authoritarian in squad engineering, but might be biased in that opinion. Tuchel won the Champions League in a season where the pre-season was done by another technical staff team, which makes it impossible to draw a line between what Tuchel really did and what he didn't do. Didn't help that Tuchel has the fame to be very demanding in terms of specific transfer market and doesn't give a chance to players he puts aside.
Potter was a clear gamble: things were going well at Brighton, but it was going to be a huge leap and without a pre-season there's not much he could do to change things arround.
Poch still got credit for his job at Spurs, but let's be honest: it was probably his career peak. At PSG he won the league simply by having more squad depth, otherwise they would had lost it. And there were worrying signs at PSG by how the team couldn't properly defend.
I can see some of those problems at nowadays Chelsea:
- Too much reliance on build-up from the wings, which against teams that are very compact in the middle makes it less effective.
- The fullbacks are often instructed to step up on the pressing leaving the team exposed to quick wing-to-wing shifts.