Considering the fact that nothing changed until the player got there, I think there's definitely a shot at some options having some amount impact.
Before we get on terminal 23 it was basically a repeat of Sensei being reset after one cycle and sometimes making it midway into a second one to be reset anyway. Now he's getting his memories back, people that don't show up are showing up and weird things happen that didn't happen before.
I know Selebus loves to do the players with "muh you don't have a choice" often but our actions can have consequences.
I definitely could see that "we" are what's going to be able to change things, and Sensei simply would be unable to without us.
The only problem I see, is that Nao seems to be the one deciding how what we choose will affect things:
There's also how she implies that there's no such thing as free will:
implying that the choices we are given are not really choices to begin with. We are scripted to choose what we choose as those choices are a part of the script.
In other words: We might only be thinking that things are different. In actuality, we might have helped Sensei regain his memory and had Maya face "new" things countless times before. Everything that's happening could have already happened before, and we're just not aware of it. All of our actions and choices and their consequences are just a part of the story.
Nevertheless, if there is a loophole, I do think it's "us".