Uh not quite what i meant. Anyone who is saying demons is more influential than dark souls is distorting history. Demons didnt have the influence nor recognition of the larger public consciousness. Dark souls very clearly did.
Better examples to illustrate this point is suggesting that final fantasy 1 or 2 is more influential than 7 because it came first, despite 7 being the most influential of the franchise. No one is seriously debating what game influenced the influence of a more influential game that's a ridiculous premise and honestly if that's the case then demons souls isn't influential because kings field came before it.
Yeah I think you're mixing up influential with popularity especially in reference to Demon Souls vs Dark souls and with the Final fantasy series. Remember Demon souls was a critical darling, and created, primed the the hard core player base that switched to lauding it's take on "difficulty". Lauding the difficulty as opposed to having Yahtzee style melt downs about how you'd need to be crazy to put up with "dieing" in a game to learn it.
Look at innovation introduced in Dark souls that separate it out from the Demon souls template; connected world with a primacy given on backtracking through connecting levels due to lack of warp. This one thing that Dark souls actually does differently is never a core part of the "souls" genre, never mind not really being a thing in Dark souls 2, 3, and blood borne which all have Demon souls style hub with levelling NPC. The one thing Dark Souls did differently never became a souls staple, it did not even influence it's subsequent direct sequels.
Final Fantasy I was directly influenced by Wizardry and Ultima, they're the influential ones as they directly influenced Japanese RPG's.