it's not a holdover from guitars, but from the original design of the fender bass in the '50s.
remember, this was basically a whole new instrument, and nobody really knew how it would come to be played. thus the tugbar, put there on the goofy premise that players would hold it with their fingers and thump the strings with their thumb.
now you see them just because they just look "vintage". (my P-bass has one for no other reason

)