It depends on how much they'd gotten invested in the Yar character. She'd have remained as Chief of Security, but how much plot would get thrown her way is questionable. Data had Ops locked up. I don't see them opting for Worf over Geordi for chief engineer. I could see them posting him to conn more regularly, but for some reason they really doubled down on having Wes be at the helm a lot, so it would be a part time job at best
They had limited the amount of bridge positions too much to accommodate that whole season 1 cast. I always thought it was a mistake to combine the duties of security & tactical. Had they split those roles, I could see Worf assuming one, while Tasha held the other. Chief of ship's security probably wouldn't ordinarily go on away missions, and Tactical might not be in charge of the old communications officer duties, etc... There was plenty of room on that upper deck to have them both up there, Maybe one of them working from a rear wall terminal
If they'd perhaps added some swing arm consoles on the outer chairs of that command arch, I could see them posting Data there in a purely science officer capacity, & putting someone like Worf up front at Ops. To be honest, the ship's counselor doesn't need to be sitting at command anyhow. She could just roam around, or sit on that end cap, like Bev use to do now & then. They also could've kept the old school Helm & Nav posts up front like the Constitution class, & had Data at the command arch, with Picard & Riker, in the Ops/2nd officer post.
Wherever Worf landed, it would surely have been a lot less integral a role for the character, unfortunately, & had Tasha remained, we certainly would never have gotten Ro Laren