I think most of us would ; but is it because we seek cuddling, or because we don't also seek sex ? Would it for instance be more embarrassing if it became known to our male coworkers that we paid strippers, lap dancers, or sex workers ; than if we paid female pro cuddlers ?
My personal feeling is that a man seeking just a cuddle with a female, is regarded as rather less of a man by his fellow males.
As a non-drinker for over 20 years, I sometimes find it easier to explain my non-conforming preference for soft drinks, as a fake medical condition or from alcoholism in the past.