I wouldn't expect anything to change with our checked bag policy, if you are referring to the carry on bag policy (the new basic fare does not include any access to overhead bin space), it could actually help the non-revs find overhead space after the standby list gets cleared. This is all theory now, but it would seem that a certain percentage of passengers that are not using the overheads should help. On a full flight they usually run out of space during boarding group 3.