I come from an accordion background as well. So I can understand the no sustain pedal idea. After all there is no sustain pedal on an accordion.
BUT, I have never been able to apply the same technique to a piano. The sustain pedal, and indeed sostenuto and soft pedals, are really indispensable.
On an arranger keyboard, one does not really need a sustain pedal for the left hand. As we all know its a simple matter of press the chord shape (or one finger if thats your wont) and the keyboard does the rest.
If one is primarily a vocal artist, then perhaps no sustain pedal is required for the right hand either as it is probably doing single melody line solos.
I learnt jazz accordion (as well as the traditional stradella, plus what they called classical accordion) so I do a lot of chordal melody work with the right hand which relates really well on the piano keyboard. I have to admit the sustain pedal is a wonderful tool. But each to their own I suppose, and I can see how not using one would also work, particularly for an accordionist.
Dennis