The same thing happened for me, but after a while I discovered that I'd set up my bass for my fingerstyle playing, which is pretty light - whereas my pickstyle was much firmer.
I chose to lighten my pick attack a bit, because I didn't want to raise my action. I found it preferable; a lighter pick attack makes for a more pleasant and clear note IMO, and my left hand didn't have to adjust to a different string height.
