I don’t know halachically what would be wrong with it, but I’m wondering what’s wrong with standing in the ezras nashim looking at the men joyously celebrating that Hashem gave us as a nation the Torah. Simchas Torah was always my favorite time of year – the pride of being part of Am Yisrael, of being chosen to receive the Torah (which also gives me direction as to what my role is as a woman in the scheme of things)
Personally, I never felt deprived because I couldn’t actually hold the Torah and dance with it.