LF: Yes, but the Gemara that says that is still only giving an explanation, not a reason. Meaning, it’s a Sevara meant to teach a lesson, not a Halacha. Because if it were so, then a mute woman would not bring such a Korban, which is true. I don’t know how pointing that out is “trifling”, especially when Wolf was using it to reject your (incorrect) usage of it in another context.
Actually, now that I think about it, I believe that Gemara (somewhere in the middle of Niddah, maybe in the 30s) quotes R’ Shimon as saying that. And we know that R’ Shimon holds Darshinan Taama Dikra. So maybe R’ Shimon would think it could be situational and would accept your application (though I doubt it, but it’s an interesting thought project). Which, of course, means that to us, who don’t hold Darshinan Taama Dikra, it really is just a Gezeiras HaKasuv (with a decently transparent lesson) and is certainly not applicable elsewhere.