Driving on a suspended license is far far worse than driving with no license at all.
(Don't ask me how I know)
Yes, but there is also a difference between a driver's license, and driving privileges.
One has to be licensed at all in order to drive legally. However, since one can have a DL from one state and still legally drive in another state, one's privilege to drive in a particular state is not coterminous with one having a DL issued by that state. Conversely, even if one's issued DL, from say State A, is still in good standing in State A, one's privilege to drive on the roads of State B may still be suspended by State B, acting under its own laws and its own power to determine who is permitted to drive on its own roads.
One of the rationales for the commercial drivers license ("CDL"), which is issued on a state-by-state basis, but under the aegis of federal law, was that prior to the CDL rules there were certain truck drivers who would get licenses from numerous different states and would rack up fines and penalties on one license until it was suspended by the issuing state, at which point they would start driving on another license, which was still in good standing.