@momzilla2D, maybe the question is, what would, or wouldn’t, the GC’s answer change? Would your D try to change her schedule to get the checkmark? Or is she, and are you, solidly behind it as it is?
Nobody who isn’t familiar with your h.s. can really answer for you. We don’t know all the ins and outs of what’s on offer at your school, who does or doesn’t take every single AP, how many students there are, how well the GC knows your kid, how many schedules has she or he actually evaluated, and so on and so forth. And we don’t know whether your GC actually DOES split hairs over ES vs CS. (Or, BC vs AB Calc.) (Frustratingly, some do.) A GC doing his or her job right is going to know all the classes your D has taken over the four years, and evaluate her overall schedule in the context not only of what other kids do but what she does/has done, too. If, for example, she wanted to take Super Rigor X sophomore year but some schedule conflict forced her into Pretty Rigorous Y instead, a good GC will still call her schedule “most rigorous.”
From here, it looks as if her course load is extremely rigorous and also reflective of rigor specifically in her areas of interest. So without knowing much more, my two cents is on going ahead and asking. If nothing else, it opens up another opportunity for your D to get to know her GC better, and for that GC to see how seriously your D is taking all this.
Ultimately you, your D, and the GC are the ones who know what schools are on your D’s list and where each of THOSE SCHOOLS places rigor on THEIR priority list. (It really doesn’t matter where any other school does, as you know.)
Sorry for the word salad.
Also, I hate knowing that not everybody’s GC is doing their job as well as they should. Here’s hoping yours does, whatever you decide.
And I see while I was editing that others have said some of the same things.