I actually think there could have been a stronger Worf presence if Tasha had stuck around. When Worf became chief of security/tactical officer, he became permanently a klingon stereotype. Now, he was written as one in Season 1, but everyone was written poorly there. However when Tasha died, there was little hope for him to get out. He was a well written Klingon stereotype, but one none-the-less.
Now if Tasha had stuck around, Worf probably would have stuck around as the Deck Officer. Working tactical, conn, security, sciences, operations, and other things as needed. This would have put on a path to the Captain's chair and given him a job that was completely non-Klingon Warrior. Therefore, they could have played up his inner turmoil even greater.