That (does estrogen/testosterone intake correlate w/ outcome) is a very interesting question, and I'd be
very surprised if anybody studied that.
The transgender community is not usually considered in medical studies. (It's hard to get reliable data just on long-term effects of the various immediately trans-related treatments). And even if it were, it's so disparate socio-economically from the rest of the population that it's very hard to control for that factor. Add to that the fact that being transgender is a fairly rare condition - 1:11,000 is the usual assumption, 3:1000 is the most generous one I've seen - these particular studies aren't that common.
A proxy for that question is "how do subjects pre/peri/post menopause react to this, with and without hormone therapy (a.k.a contraceptives)". There's mild evidence of hormonal status and COVID response being correlated: https://www.medrxiv.org/content/10.1101/2020.07.30.20164921v...