I actually wait for mine to air cool. I own a Dead Air Mask and don't actually remove it much. "Hot" is relative. Too hot to touch depends on the person, some can tolerate more heat than others. 212 degrees it hot enough to boil water (at sea level) and that usually makes the coil on a stove "red hot", so obviously we're talking about less than that. If the suppressor is around 150 or more degrees, that's "too hot to touch" but less than boiling hot. Please, use a little common sense here. I'm not throwing a damp or wet rag on something that's going to cause a "flash burn" and risk the integrity of the metal or the welds of the suppressor. However, a damp rag can help cool a suppressor made of titanium and steel as the Dead Air Mask is made of from "too hot to touch" but less than "boiling" to manageable. If for some reason someone is in a hurry to remove the suppressor, drip some water on it to test its heat level. If it immediately evaporates and sizzles like it's a hot frying pan, don't do it. If the drop of water hits the suppressor and simply runs down the side, it's probably ok to apply the damp rag to hasten cooling for handling. If someone is not comfortable with this, don't do it. Get a hot mitt or something...or just wait.
The OP was surprised at how hot the suppressor got after 25 rounds. We don't know the caliber...I assumed it was .22lr, but it could have been .22 mag or 5.7x28. We also don't know how fast the OP was shooting to get the suppressor to the elevated temperature.
Again, I just wait for mine to cool to ambient temperature long after I'm done shooting.