I don't think it will. I don't have much experience with Ed's Solo stems, I do own a stem for the Launch Box and it doesn't get warm. It's about the same length but thinner and without the metal for the bowl. I've used my 18mm PV GonG as a mouthpiece, all glass, and it didn't get too warm for my lips. Glass conducts heat better than wood so the WonG shouldn't get as warm as glass.
The only experience I've had with Ed's Solo stems was at an FC hangout where someone had one of his full-sized stems. I really liked it, and would get one but I'm back to reclaiming stem oil which I can't do with a wooden stem. Still, I may end up ordering a shorty WonG as a durable backup for my glass stems.
Nice avatar, by the way. Love that show