The obvious things are knocking the control so it gets turned up or down, and the percentage error at very low adjustment values.
Fixed attenuators get around both issues, but as you say, if say 6dB is too much...
TBH though, the 'acceptable signal level' window is massive. Way-way-way bigger than 6dB. The lower level is 45dB and the upper level is 65dB, so that's a 20dB gap immediately. These limits include safety margins too, so in reality you can expand both ends by another 5dB reasonably safely; so now you have 30dB to play with.
The upshot of this is that in your case with 170kW across the board, the aerial would have to be something with an extreme gain curve, and combined a huge spread in signal range right across the channel spectrum, to get too much signal at one end that that when you fix that with some attention it then jeopardises reception on the main set for the lower-channel muxes.
I can imagine problems for people when the signal then goes on to be split for other TVs in the house, or where the aerial is in the loft which means that the rain margin becomes a factor, or where there are deciduous trees in the direct line of sight to the aerial, or where some mules are very low powered compared to the main PSB ones. This is not an exhaustive list, but it highlights different scenarios.
The bottom line here is that a variable attenuator is a very low cost diagnosis too, and a bloody useful gadget to boot.
They're a fiver - or are at the time of writing - so even if you decide then to swap to a fixed attenuator, you won't have broken the bank with the variable one, and the chances are you'll have learned something about the way signals work by actively twiddling the little adjuster. That's got to be a good thing, don't you think?