Ahaha of course this thread goes straight to Bethesda bashing. The Forged were nothing but another raider gang, personally no they weren't missing an opportunity, just like they weren't missing an opportunity with Libertalia, the Triggermen, Judge Zeller or any other raider gang. All those were nothing more then small raider gangs that wouldn't have even been able to recruit enough to get to the level of the Institute or BoS, Minutemen have the support of the settlements and the Railroad has a actual cause to rally behind, the Forged are just fire obsessed raiders. Nothing more, nothing less.
It's no different from the Vault Dweller in Fallout 1 not being able to join the skulz or the vipers, it's no different from the Chosen One not being able to join the Yakuza or Salvatores in Fallout 2, it's no different from the Courier not being able to join the fiends, vipers, scorpions and whatever other raider gang in New Vegas. It's not "limiting role-play" it's not "Bethesda hurting role-playing" it's a raider faction that is nothing but a raider faction. Each game does it and numerous other RPGs do it too.