I agree. When you consider technique, strings, pick/fingers, plucking placement, etc., a huge range of tones is available from a P-bass. (This is true of all good basses, really.) It might be more limited than other basses, but it isn't a "one trick pony" by any means.
And its range has been expanded with pickup alternatives, like the Quarter Pounder, G&L MFD (in the SB-1 and SB-2), DiMarzio Model P and Split P, etc. These produce a more powerful, full-range split-coil tone, which opens up sonic options you won't get with a more traditionally voiced P-bass. I'd never want a Fender '62 RI as my only bass, but could get by with my G&L SB-2 or an SB-1.