Henry VIII's court probably was fairly tawdry. It was, though, more acceptable then for men to take mistresses than it is now. Not so for the women, though some did manage a fling or two behind closed doors.
The Tudors is good television. They have most of the facts right, but this is entertainment, not actual history being portrayed. They've bent some truth and timelines, but the premise is correct on the outside.
Some of the facts about Anne Boleyn in the show are taken from assumptions or the political opinion of the times or outright fabricated. Because of the era in which these people lived, there really aren't a lot of cold, hard facts except for things like births, dates, marriages, deaths and other things that would have been recorded, and even some of those records have been lost to history. We don't even know for certain when Anne's birth date or year were, or her sister Mary's or her brother George's.
So we really don't know for sure if Henry VIII's court was full of lusty heathens or not. In today's world of entertainment, though, sex does sell.