I seen it where the code enforcement officer is not a sworn LEO.
A lot could depend on the enabling legislation.
This is small-town Wyoming. They obviously don’t have enough stuff to keep one cop busy, and rather than supporting the local donut shop he (or rather, I think she) is spending too much time fixing things that aren’t broken.
The population is such that breaking law-enforcement down into further specialization doesn’t make any sense—they likely “need” a code enforcement officer for about 1-2 hours worth of work a week max, or a cop can just chat with people in a friendly way and overlook technical things that harm absolutely no one.