Hi Bryan, This could be the great debate .. I have in the past wore rigger gloves as it had been a habit with work, handling cold greasy steel and other things ... the pairs I have remaining I use with rough work in the garden, after all it classed work gloves.
There has been a big debate on WOW about the subject with no real result, maybe 50/50 .. top turners there are seen wearing them, if it's down to gloves, the most say golf glove, much like your own and agree the reason for them rough turning hard burrs the chips cut even gloves.
Bottom line, as with anything worn for turning it shouldn't be loose fitting, as with fingers, it goes for gloves, they're on the hand after all, you keep to the rule reasoning of the hand/fingers will remain .. if they remain on the outer face of the tool rest, not over it at any time.
Then as with most anythings in Life, any part of turning has it's risks, the wearing of glove only if one is sensible.
Cheers David