Whilst I agree with the parts in bold, Hazard will assist and score more under Sarri.
Simply because we will have more of the ball in the opposition half meaning Eden will have more chances to create and score, that's just basic knowledge.
Look at the likes of Sterling who isn't even half the player Eden is, but managed to notch a very good return last season simply because of the system he was in.
Mourinho, Conte and Wilmots are all pragmatic coaches who won't get the very best out of their attackers. Insigne, Callejon and Mertens scored an impressive number of goals under Sarri and once again, they're not on the same level as Eden. Would Mourinho, Conte etc get those sort of numbers with those players? Doubt it.
I'm sure only Drogba in 09/10 is our only striker in the Abramovich era to score more than 20+ league goals in a Premier League season which kind of sums up the pragmatic tactics we've had at the Bridge since Roman arrived.