Well that's why u have ammo boxes lying around
Emm I just had an idea (correct me if I'm talking jibberish). Why not put the flamer in Falaise Pocket,Anctoville and Purple Heart Lane?
Purple Heart Lane wouldn't work for flamethrowers as they were not employed at any point during Cole's charge or in the days prior to or following the offensive.
I do agree that the Flamethrower should be on more maps but IMO the most lacking equipment would be Anti-tank mines in the possesion of the German engineers in Normandy (especially given the fact that the Krauts laid millions of them, yet there isn't one to be found on any Normandy map).