I think it can work if the chapters doing it are very similar and have a relationship. For example - I think RaggedyAnn's chapter and mine could have definitely helped "pad" each others' rooms in rush and it would have probably been a big hit, since the chapters had a history of hanging out together and being a lot alike.
But when you send girls from Big School Lots-O-Lilys Chapter to help out Small School Levis Chapter - well, it's going to not only make PNMs who connect w/ the BSLOLs feel duped, it's going to make the PNMs who liked the SSLs very wary. Like, does the chapter not feel secure enough about itself that they have to bring these other women in? They're not going to understand "double rushing" or the mechanical part of it.