Eh, given the existence of Fabricate, I don't really see a problem with allowing the use of heat metal and perhaps other spells to aid with crafting. Especially since Heat Metal would mostly only cut down on fuel consumption. I mean, you'd still have to do the work part of forging by swinging a hammer.
Perhaps some enterprising caster could conduct some research based on heat metal specifically to replace the forge when forging.
Yes, they have plenty of spells that could help, I just don't consider Heat Metal to be one of them.
And yes, I would absolutely allow some kind of pursuit after a more specialized spell.
Reality is relative, and there is an exception to every rule.