I would take them somewhere and have the top and have the top and bottom edges ripped clean. An ungrooved surface on the top will make it easier to sweep and clean up. Also, little parts like brads or string may get annoyingly stuck in the corrugations.

I prefer a relatively flat bottom too (at least near the perimeter) in case you need to glue a backing block to the bottom for a wider vise or if you need to get an f-style clamp in there.