Those Suns teams with Marion and Amare were in the bottom 5 in rebound differential every year. Ayton gets more boards individually and his team rebounds better than those Suns. I just don't see any comparison. Amare got rebounds that went his way and even those he often let the opposition beat him to by not boxing out, Ayton does not have those problems, just watch how many times someone like Crowder or Cam get a board because Ayton is holding 2 guys back.
You are right about Ayton looking at the ref for calls, he isn't as bad as Amare was but he does his share of griping.
Another ying and yang with Ayton and Amare is in offensive transition. I think part of Amare's poor rebounding was knack for wanting to attack in transition. Amare would often be the first guy across mid court, looking to cause a mismatch in transition or get an easy lob. Ayton is typically the last guy to enter the frame often because he got the board and looked to dump it off to a guard but also because he just doesn't have that aggressive mindset on offense... and I think Amare was generally a faster player, freakishly fast for a guy his size.