Honestly I go with this because if you look at Lefty's blueprints it looks like it would f*cking suck for the Puppet (literally possessed by HIS OWN DAUGHTER AND HE KNOWS IT) to be in there, so why would he give a crap about anyone else in there while the building is burning other than William who he's obviously trying to kill
Henry also kinda implies he has no f*cking idea who's in there as the manager and paired with the Insanity ending he just plain doesn't care who the manager is, he's gonna kill that anyways