I am 57 and 4 years on HRT.
I definitely used to be 6 foot with (male)size eleven feet.
My feet have definitely become almost one size smaller and I realised early last year that I had lost height.
My height is now officially confirmed as 5'10" so I have lost 2 inches.
I don't see how any of that could happen but that is my experience, whether due to age or hormones.
To the OP I would say this ...... it may happen for you or it may not, but you certainly can't count on it. Good luck.

..... oh..... and Yes, I wear heels up to about 3 inches and always have, even when I was 6 foot