a few do it, but you have to book the evening before.
Usually tourers are a better bet for that as they are bored in a hotel room anyway, but again would require pre-booking
Most WGs stay up late into the night as that is thier time off, so they can chill without the hassle of being ready for a punt, so even booking one for 11am, you can sometimes tell they have just woken up, and had a late night