I would say no. You already have some story progression and not because of Seasons. Like babies named and growing up without the player if they rotated away from that household. No notice, either.
Townies aging..story progression. Townies changing jobs...story progression. Townies 'moving away' Even friends...culled/deleted...story progression. Your own households aging without you..story progression. Sims getting involved romantically with other Sims without you..story progression.
Sims (yours) making friends and having affairs without you...story progression. Sims meeting Sims you never met...story progression. Townies gaining skills you had nothing to do with...story progression. Time Continuim from one house or world to the other..Story Progression. ETA: Your own Sims gaining skills you didn't want when you return to them...story progression.
You already have a lot of pieces of story progression in game that bothers rotational players more often than not.
Ones that really bug some, Vampires biting others outside your control..that is part of a story progression. Aliens abducting others beyond your control that was story progression. Advancing the story outside your control may bring more things that annoy some.
ETA: And no it wasn't just no big deal to undo TS3 story progression. I didn't appreciate a single Sim of mine in a one bedroom suddenly involved with a townie who had moved herself in, and three more moving in, too, when I wasn't playing him.
ETA: TS3 didn't come with an option to turn off SP until a patch much later. You lived with it. (I have to wonder if people want open spaces/worlds and SP why they aren't playing TS3 where it has everything like that). I have to scratch my head on this one.
