Like the court cares about adultery
Are they going to split marrital property any different than 50/50 anyway? Cut child support? Take away your alimony? They don't care, it is a formula, the only difference is it happens quicker so you can hop into another screwed up relationship just that much faster.
You are already riding the baloney pony anyway, what do you want a certificate that says you are not doing something wrong? Would it matter? You going to hop out of the saddle and unservice yourself?