Those wives, who were unaware before the marriage ceremony that their husbands liked to crossdress, deserve to have the husband/the man that they married.
I would not use the term "traditional man", because that, in some respects, conjures up ideas of a man who demands his conjugal rights, expects his dinner on the table when he wants it, slipper and pipe ready in front of the fire, shirts laundered and ironed, expects that now optional wedding vow of obedience to be observed etc etc.
In most marriages, both parties have different hobbies that cause them to spend some time apart. CD'ing can be such a "hobby". How many wives absolutely hate it (or love it in some cases) when their husbands go out before dawn (rather like some of my early CD'ing escapades) on a hunting or fishing trip and are not seen until nightfall.
For the past five years, since retiring early, Em and I have been almost constant companions. We have many common interests, so it is rare for us to spend much time apart. There are times, now, that Em hints to me that I should spend some time as Rachael, sometimes that has ulterior motives because she knows Rachael will do more household chores than Ray and he will catch up with his chores later!
So Rachael is there at times, but Ray the man Em married is there more of the time. Rachael is never in the marital bed, that is reserved for a traditional man.
When we go out, usually I am DrAB but I am always reminded to not take too much time with my make-up. Indeed there are times when Em goes out of her way to remind me to put on eye make-up.
So there are advantages to telling your wife.