I did not yet remove a driver from a speaker that has no pressure in the mass loading port but I did happen to look inside one of my newer sky towers for an unrelated purpose. I did not see any loose batting or damping material at all that would potentially block any cabinet chambers.
As far as I know the mass loading chamber should be isolated from the speaker cabinet, otherwise laying down the speaker in the way you describe would easily result in sand/silica filling up the speaker cabinet which would be terrible. However totem themselves specifically say that is the approach you should take in mass loading the speakers, so I have to assume that the chamber is meant to be sealed/isolated and something is amiss with my newer towers. Or there has been some kind of design change but it seems unlikely for that to occur with no mention whatsoever from totem.