I suspect the white glove thing ties back to someone with a bad case of OCD and a good imagination.
I've worked with tube gear for over 50 years now -- building, repairing and using -- and never had a problem handling tubes with my hands. No tube failure ever from that, and no appearance issues. Tubes are made of glass, and yes, glass can get dirty, but one can also clean glass. The only time I've ever used a cloth is if the tube needs to be handled while still hot. You don't want to burn your fingers.