Greetings & Welcome!
It looks lighter than all the heavy wood that some people use, so that is a huge plus. Insulation works much better for sound deadening than it does temperature control, to stay comfortable requires good heating and cooling equipment regardless of whether you have any insulation or not.
In mine, the roof above both my heater and my stove can get quite warm, so I would check the temperature ranges of whatever you use to make sure it won’t damage it, or figure out some kind of a heat shield for it where appropriate.
Cheers!
"Be the reason someone smiles today!" ~ Van_Dweller