No. You can look this up on a thread here, someone posted an old brochure. The No. 4s were done in Standard, Deluxe, Supreme, and Custom versions. If I recall correctly that was the order of cheapest/ basic to most expensive/highest grade, and only the top one had it's bridge removed.
For No1.MkIIIs, I think there were only three grades of conversion. At least one, maybe two retained their charger bridges.