Anytime on a bike is a good time, underwear, no underwear. lycra, no lycra...job, commute, hobby. They all matter.
the funny thing:
my girlfriend wears the double style because it is what works for her. I ride lycra-cowboy. And we were both surprised at the fact that I didn't and she did.
One way is not better than the other - I was just interested in who does what. And maybe allaying any other questions or fears riders may have concerning this issue.
Whatever works.