I think I found the module that is loading jQuery. JoomlaWorks ‘Frontpage SlideShow’.
I disabled jQuery in both the slideshow and EFLP and it still does not seem to work properly, i played with switching jQuery between the two module/plugins and cannot get it to work.
I unpublished the slideshow module but EFLP still closes the folders.
This is a live site but I’m willing to give you temporary access.