Overheating with every Wildfire would be okay. But you don't get much skills inside the 10s frame and after the absolute underwhelming damage of wildfire you loose the 5% damage buff and the higher potencys of the hell shots wich overall isn't worth even being considered. The loss is greater than the gain.

I think the fight should be started with flamethrower and Barrel Stabilizer is more of a "oh shit, I messed up". But overall you should always lose damage when you overheat and you get significantly punished for more than 10s (cooldown+ gauss activation time+another cooldown to get heat).
And I realy don't get the design of the flamethrower. Why does it so low damage and why does it definitly lead into overheating if you let it channel?

For me personaly the MCH needs some rework in the mechanic itselfe and the flamethrower. And Wildfire: 25% of your damage in 10s is not much with extremly high global cooldowns. A critical shot deals more damage than that..