Clearly if I am being called to a board because of a move counter issue I have “let the players use the move counter if they want to”. Not all of the problems caused by them are minor, at least not to some of the players. My point is that these problems would not have occurred at all if the move counters had never been turned on. In other words, the problem was foreseeable and avoidable.
The typical problem seems to be based on a player’s reliance on the accuracy of the move counter. While adding one to a move counter can be accomplished by hitting each button an additional time, subtracting one is a little more complex in that it requires a clock to be stopped, manually adjusted, and then restarted. As pointed out in another topic “Limit of TD Involvement”, there are some who object to the director’s involvement even when invited by the opponent and the clock has been paused. The more significant problems occur when a player blames (often incorrectly) the move counter for their loss even though the rule book says the players are using them at their own risk. A director may be sympathetic to the caused problem but often obligated to disregard its impact to the losing player.
For the record, I direct at about 50 tournaments per year and play in about 15. Many of those I direct have one sudden death time control so move counters are irrelevant.