I like to think they did come out of the house juju. It makes LE's defeat more satisfying and more personal to the kids since they got trapped by LE
It makes it more personal, but the thing is- Does it need to be Personal? Does it need to be a Big God Damn Deal? They’re Kids that had their teenage years stolen by a Universe-Building Game leading into a Conspiracy to Save All of Reality, dying several times along the way. They deserve some rest already without needing to face Buffskull McPegleg. That’s why I personally don’t think they pop out of the House.
Also because them popping out of the House means they pop out to kill English, only to sort of get stuck in a crumbling Paradox Space? Because I still don’t think Act 7′s Timeline is the Masterpiece Timeline.