They definitely will fight calliborn. But them getting stuck in the juju is not a guarantee. That can still stuff him in to lil cal without themselves getting trapped :)

But if they don’t get sucked into it then Caliborn won’t send it to the furthest ring for Vriska to eventually find and use against Lord English.  And we know Vriska does those things, so the prior has to happen.  And the house juju glows the beta kids aspects so they def got jammed in there.