There are 2 sync mechanisms in Subspace: one is sync from DSN from deep history, the other is Substrate sync for recent history. When that error happens DSN sync ends because there is nothing left for it to do and regular Substrate sync kicks in. But depending on the height of the local chain regular sync may not be able to sync at all and will result in node banning on network level, see Node not able to sync for days - #10 by nazar-pc