It's more and more commonplace that it is required for state and local level championships and tournaments. Make of that what you will.
While there are costs involved, a skilled setup person will only add MAYBE 10 minutes total to the setup time using some of the hole paint products. That's an hour per week, so really a full work day is spent over the course of two months. There are much larget elephants to shoot in maintenance budgets than that, and if that one becomes the largest I'd accuse your budget concerns with being austere for the sake of austerity.
On ultradwarf bermudas, I've enough anecdotal evidence to suggest the paint does help preserve the edge. Nothing will prevent hamhandedness on the part of a golfer, however.
I was vehemently opposed to painting a few years ago. The above analysis has moved me into the ambivalent camp. Do you. There's bigger things to worry about and it keeps the stakeholders happy.
If it's a gripe, your problem is with the stakeholders, not the superintendent.