Most of these "sexual orientation regulations" are also administered by unelected commissions, without the due process guaranteed by the Constitution of a trial-by-jury option. I'd like to see one of these attacked business owners demand to be tried in a duly authorized court OF LAW in a jury trial, with a high-powered attorney defending him and having a hand in selecting the jury. Even if one juror can't find him guilty, he walks, and the state has to foot the bill for the expenses. Maybe they'll think twice before they decide to prosecute again. It's all about money and guaranteed narrative victory (which a tribunal by commission guarantees) with these fascist goons.
Other people throughout history have given up much more.
Most of these "sexual orientation regulations" are also administered by unelected commissions, without the due process guaranteed by the Constitution of a trial-by-jury option.
In most cases these are considered civil infractions and not legal ones, and the defendant is no more entitled to a jury trial than a speeding offender is. That may be for the reason you speculated - don't want to tie up the courts or the risk of jury nullification - but regardless of the reason it's the way it is.