Not only venting can play on how warm a dryer cabinet gets, but the temperature the cycling thermostat(s) are rated at. When I installed an adjustable cycling thermostat on my Maytag DE806 last year set to 175F, the cabinet got quite warm to the touch, wasn’t hot to the touch, but quite warm. Since the cycling thermostat is a double throw switch thermostat which is a L120-15, only gets lukewarm to the touch.
There’s many variables that play on how hot the cabinet of a dryer will get. Wonder how hot a Whirlpool/Kenmore gas dryer gets with the 37,000 btu burner in it.