I'm not sure if hormones affect sweating that much. I sweat pretty easily when it's hot, and it's been hot here. My face will go like crazy, too. But then again, I'm also pretty pale (even with my sun-tan), so heat affects me pretty badly. The smell, that's a different story. I really notice guy smell. I don't smell when i sweat, which is good.
If you are taking spiro, and not enough water and electrolytes, that could affect how much you sweat. I get dehydrated easily in the heat, so I drink a lot of water and gaterade. I end up sweating more than if I didn't drink as much, but then if I don't drink I start feeling sick from dehydration.
I've been on HRT for about a year now. I switched from horse pee (premarin) to estrace a couple months ago. The estrace, btw, seems to work a lot better for me (much, much better, and no side affects like the horse pee had). But I haven't noticed a difference in sweating when it's hot or if I exercise lots.
I find that i don't break out so much any more, because I don't produce as much oil. I only seem to break out if I wear foundation all night and don't wash it off (that's happened on rare occasions), or if it's hot and I wear foundation. These days, thanks to laser, I don't wear foundation much any more. I don't get how my girlfriend can wear so much foundation all the time in the heat.
Different bodies will react differently. So, for some the hrt might drop the amount of sweat that one produces, while others it might not. And, spiro and hydration levels may also affect sweat production. So, I guess there could be a lot of factors at play.