The issue, agency-wise, is that the player statement described has zero impact on what actually happens. Most games, at the very least, offload some of that onto the mechanics, and in many cases offload a little, or more than a little, onto the player as well. Here, it's entirely with the GM. I wouldn't argue with the use of 'zero agency' here. Keep in mind that doesn't necessarily mean 'not fun' or 'wrong'.
I would, for two main reasons.
First, if you are using a term, it is best to use it in a manner that promotes discussion. If you are using it as a defined term (or jargon), then that might be one thing. But if you are using it in such a way that it is likely to cut-off discussion, or cause debate about the term itself, then you probably shouldn't use it that way. "Player agency," as commonly described by the majority of gamers (since the vast majority of gamers plays some variation of D&D- either one of the main D&D games or a variant like PF) use the type of action resolution system we typically describe-
A. DM describes environment.
B. Player announces action.
C. DM announces resolution.
D. Goto (A).
There are variations, twists, modifications, but that's the basic process. Now, people can (and do!) have debates about player agency
within the ambit of this resolution system. We all recognize that, right? Because that's exactly what
@Malmuria was talking about- issues like illusionism and railroading and all that good stuff.
So, if someone else says, "Hey, listen y'all. And by y'all, I mean the vast majority of gamers .... none of you have player agency. NONE OF YOU. And ZERO PLAYER AGENCY." Well, that's not likely to lead to a productive discussion because that's just an antagonistic way to have a discussion, which I think should be obvious? It would be more productive to have a conversation about, say, players authoring the fiction
instead of using a term like agency that is already widely used for something else by a lot of people.
Second, I wouldn't do it because it tends to overheated rhetoric like, "dictator," and so on. But that's me. Overheated rhetoric should be reserved for the truly deserving and evil, like soulless, dead-eyed elves.
EDIT- ninja's by
@overgeeked