A lot of things come to mind with the practicality of this proposal being adapted by some American cities or counties.
Obviously, one issue whether this hour of paid sex leave actually be used in copulatory activities; or will some irresponsible government workers actually spend the time drinking coffee, watching television, gardening, hiking, or eating Swedish meatballs? Will the government require some form of documentation: a signed affidavit, swearing under oath that they had sex, physical evidence, or so forth. Seriously, will this require something like testing or some other intrusive indignity? Will they be asked whether they experienced the big O or not?
Then, there is how government might define sex. Don't laugh. Will some Clintonian criterion define sex only in terms of actual intercourse; or would minor benefits* forms of sexual relations also count? If the justification for this fringe benefit is to increase the birth rate, then certainly this could be for this kind of restriction. Also, some diligent governmental statisticians will have to crunch, or at least massage, the data!
Given that a significant number of workers are unmarried, then a paid sex leave benefit could be seen by some as encouraging premarital sex! That would offend a number of people because of moralistic issues! Indeed, some states decided to require that government workers get married before this benefit would be available to them. Or, if pregnancy resulted, can you say governmental-elicited shotgun weddings?
Anyway, the two major political parties had a lot to work out with this idea. Democrats were in favor of paid sex leave; but wanted to extend it to all workers, not just government employees. Capitalists were not keen on this, especially for fast food workers, who had to find other means of their employees getting screwed. Bible-Belt Republicans who officially adopted a moralistic stance were opposed; however, a number of them were won over when it was pointed out that they too were government employees and that there's nothing like a little roll in the hay to ease tensions after a long afternoon of sessions or committee meetings! Also, a telling argument was that government employees canoodling were causing less mischief then as opposed to doing government work. Now that's a concept that anti-big government people can easily grasp!
But a significant attraction for most Democrats and those Republicans was that more government bureaucrats could be hired to deal with paperwork generated by this new governmental benefit. In triplicate, of course. And have the compensated employees give all the gory details! This is to ensure that no one given the paid leave was doing other things, like texting or reading comic books, instead of what they were paid to do!
Nothing more refreshing than a little sex on the taxpayer's dime!
*From the expression, friends with minor benefits.