Main chain can be forked and fork will contain all the information about currently open channels. If LN will instantly be switched/copied to the fork and presuming all LN nodes will support forked coin then there will be two functioning forks with two functioning LN overlays. In reality this won't happen and LN overlay above forked coin will be totally screwed. Funding transactions most likely will be canceled/executed. This will heavily devalue future hardforks, since any active LN user won't benefit from free coins.