I don’t think it was specifically discussed at the last Laser committee meeting. HDPE and LDPE will stay on the list. PE foam is basically the same stuff with bubbles in it.
Are you looking to use an open-cell or closed-cell foam in your cases?
Open cell Polyurethane foam (like what is also commonly seen in road cases) is not on either list, and based on reports should be safe. You will be limited in the depth of foam you can cut and probably shouldn’t attempt more than 1" because of the hourglass shape of the laser focus point. You could cut multiple layers and then stack or glue them together with 3M spray adhesive.
In any case - you’ll need to WATCH it extremely carefully. Test with lower power and higher speeds and try to keep the laser head moving as fast as possible.
@heyheymama is the Laser committee chair and would have the last word on this though.