The sound was very Many Rockabilly guitarists play a '59 Fender Bassman (or similar) - vintage or reissue. I found a way to get around that and always have the same "Bassman-sound" no matter what volume I'm playing at...
Many purists go on about the necessity of recording on tape, but that's nonsense.
Recording on tape has very, very little to do with achieving a vintage sound, and does nothing that you couldn't achieve by running the recording through an equalizer or other effects.
If you're into Surf music it's a whole different ballgame though.
Here's a picture of my "live" settings for the Boss DD-3.
Still, live I don't see why there should be any difference, if you set your amp right.