I see no problem in having a hologram the opposite gender as the character, It could represent another aspect of their personality or could just be down to taste, I usually choose a male or mech as my avatar to show that I am strong willed or to demonstrate that intelligence and understanding is without gender. So there is logic behind that decision.
Logic. Coming from you I find that choice of words funny. But jokes aside. I think I will go with both and change it depending on the situation my Mech is in. Every tactical advantage should be used in a battle situation right?