Indeed. Hormone levels act, or don't, on existing body systems according to the sex of those systems.
A transman on testosterone still has female kidney filtration rates and will need a kidney transplant at female marker levels, not male ones. As at least one transman found out to her cost.
The immune system of a man taking oestrogen doesn't react in the same way as that of a woman. As they discovered when testing Covid treatments. Because women tend to get Covid less severely, there was a theory that oestrogen was a protective factor and they tried giving it as a treatment. It worked for women (both pre- and post- menopausal) but had no effect on men because their immune cells didn’t have the relevant oestrogen receptors.
Testosterone causes vaginal atrophy in women. It doesn't in men. I hope I don't need to explain why not.