If it wouldn't be still named Sword Art Online we could say it wouldn't be the same anime. I mean they aren't any anime or manga which tittle change, i think.
THIS. That's true, I guess.
I've never seen an anime that change their tittle in the new/another season of the anime.
Yep, also just started Btoom!
First thing i thought was "Sword Art Online", but than the action went to some sort of island and it still is in real life.