but they are not safe around woodworking machines. Spinning cutters can catch the glove and pull your whole hand in.
This is very true, but why are your hands that close to the cutters in the first place ? TBH here, for a glove to catch, your hands in going to have to be millimeters from the cutters, so the suggestion is something that has gone through something like Chinese whispers and safe practise has become a dont do it scenario where the actual HSE advice has become lost.
I would say people wearing baggy woolly jumpers is more of a problem and safety issue.
The only advice the HSE gives on gloves and woodworking machinery i can find is not around bench drills. I would also say that they wouldnt expect gloves not to be worn around cutter machines as you should be feeding properly, be using guards and not have your hands that close to any cutter as would present a safety risk
So i think this is a fallacy, and work gloves are safe to wear when machining on machines where you are feeding long sections. Grip is improved, and it is difficult to feed a big board through something like a moulder without your hands slipping on the timber.
They also prevent cuts, abrasion and in particular splinters, which can contribute to down time, and on some timbers like African hardwoods like Wenge(or any), splinters are poisonous, causing infection, which again leads to downtime.
That said, sleeves should also be up.
But despite all, I would look to seek out exact HSE recommendations on glove use, possibly by email, as again the only real info i can see concerns rotating machinery like drills and lathes, and in the engineering side.
Again advice on machines like spindle moulders, surface planers and table/crosscut saws is you dont come that close to the blades, or you shouldnt as that would constitute bad practise.
Of course i would think if you are machining small components, then hand ppe would not be appropriate .
https://books.hse.gov.uk/gempdf/L25.pdf