They definitely need some TLC.
Veneer can turn La Scalas into near works of art. seriously. The only problem with veneer is that inside the bass bin only the front portions of the surface are accessible. The doghouse and sides can be done for a large portion. a lovely solution to this is to add some Belle Klipsch style grill covers inside the bass bin to cover the unveneered surfaces. I would also suggest matching the HF section with grill cloth, if they do not already have grill boards. Some raised trim work will be required to make this look right, unless they came that way from the factory.
Another option, which is pretty easy and can make for some very nice cabs would be to have a nice black finish after patching up the cabs.
Can't find the pic i am looking for, but this is an example of a LaScala which has had cabinet mods to match the Type B Khorn cabs
Hope you can post some pics of your project as you go along.