I burnt out two mini-lathe brushed motors through prolonged lathe-abuse and a third spare I ought from a 'nice old gent'' turned out to have two blown windings.
That's not to say brushed motors are no good – the brushless motor o my X2 mill is fine – but I tend to run it faster.
The problem is that he mechanical capabilities of a mini-lathe are greater than those of the standard brushed motors, and I like to work the lathe harder than it ought to be, and when this means larger diameters it means brushed motor working hard and slow – which is a recipe for overheating.
I would, however, definitely go brushless in the future, even at significant extra cost.
Neil