My understanding is that the social school still can't fully explain things without diving into ideology. Like you can write about a social process, but those material forces are reinforced and also influenced by ideology. You can't get rid of it completely, so it needs to be dealt with. The social school didn't deal with it that much mainly because they were at first dedicated to disproving the totalitarians and social history in general started as a movement to remove ideology from historical analysis, but ultimately you can't completely ignore it so there's been a return to looking at it as the explanatory power of social history starts hitting walls.

It's also not a complete replacement like the totalitarians going away was, like social historians in many parts of history academia are still around and doing good work.