Campbell
Relaxed Intensity
If Storygame is too broad a term to encompass stuff like Sorcerer! I suggest those could be called Author Stance RPGs, as opposed to trad RPGs which are Actor Stance RPGs in Edwards' terminology.
I'm not totally happy with Actor Stance as a tern because it discounts or does not comprehend immersion as a play goal. But Author Stance seems fine for the Edwards play mode.
My preference is to simply call them (particularly post-Forge games like Apocalypse World) roleplaying games. At least in the games I choose to play a player's orientation towards their character is pretty much the same as it is in more mainstream games. The rules cover more of the psychosocial elements of the fiction, but I am just like playing a character. Most of what makes them work differently comes from the ways GMs operate in them.
I honestly think we make too much of the trad / indie divide. A game like Sorcerer has much in common with Vampire Fifth Edition (although not other versions of Vampire), much more in common than either have with Moldvay. A whole host of FATE play has a lot more in common with Critical Role D&D than it has in common with Apocalypse World. Even in the OSR space something like Wolves of God or Godbound is phenomenally different from the delve focus of Nightmares Underneath, The truth is that these distinctions are phenomenally messy.