If you read the actual interview that quote comes from, Nomura was always part of the FF7 remake team. He just assumed Kitase was the director while Kitase wanted him to be the director. Part of this is because Nomura was the one who wanted to make an FF7 remake years before. That said, Nomura doesn't direct anything by himself anyways. So I wouldnt say that is proof that work is being thrust upon him.
Ya he knew he always wanted to be a part of the game, but probably thought he'd just give some points here and there because he was already busy dealing with KH3 and FFXV so he would have never thought he'd be directing FFVII remake. But then to just suddenly give him the role of director unknowingly is a huge difference.
Probably that's why ultimately they had him drop FFXV and gave it to Tabitha because doing 3 huge games at once was going to be too much workload. And again, they shifted his position around from one game to another.
I do a lot of project managing in my field and it's horrible juggling between projects only to get taken off one to start a new one out of the blue. So trying to put myself in his position would be really stressful and im sure his position is a million times harder than mine.
He was always part of the team for ff7r. In fact it only exists because he, Kitase and Nojima decided to go for it.
Nomura just didn't think he was going to be director because Kitase seemed like he was taking that role. Nomura was most likely expecting the creative producer position, one he assumes quite regularly on games.
But it certainly wasnt a limited input to director role. He was one of the main members of the team from the initial start.
I'm sure he does have a ton of responsibilities like it sounds you do (keep up the good work), but i don't see this as him necessarily being given too much work. He could of had little to no involvement if he wanted, but he wanted to be part of the core team.