Even if you don't disable fame, fame works much better in TS4 and will not spread. I had the pack for a couple years (?) and I don't think I ever saw one sim earning fame unless it was my intention. You might even like to use the fame for other stuff than showbiz/celebrities. I use it for my nobility and my Council, as I find it natural that random sims will recognize them. Even so, it only happens to the royals that random NPC walk up to them to cheer etc. Oh, and the Mayor. But on the first levels of fame such things never happen.
