Watch some videos. Guitarists play with bowed fingers because they have to play chords. Bass players don't so straight or bowed shouldn't be an issue. Guitarists play with the ends of their fingers, bass players usually use the pads of their fingers.
Francis Rocco Prestia rarely bowed his fingers, Scott Devine does both, I play with straight fingers most of the time.
If you can comfortably play the songs you want to play, you don't have a serious problem.
That's not accurate at all. Here's one of the greatest bass players out there doing quite a bit with chords, and using flawless technique to ensure proper muting and allowing everything to ring as needed. Note that it's on a 30" bass:
Nobody should ever learn bad technique just because it makes it easier to play easy stuff. Guitarists have to do plenty of muting, especially in the jazz realm when they are rarely playing all 6 strings at once but have multiple parts moving simultaneously. Go watch any great classical or solo jazz guitarist and you'll see a huge variety of left-hand techniques, the same as you'd see if you've ever watched someone like Victor Wooten perform.