I prefer "electric bass" to "bass guitar"; and "electric bass player" to "bassist" - because to me "the bass" will always be an upright bass, and a 'bassist" will always be someone who plays an upright bass. I also think an electric bass shouldn't be played (or thought of) as a very low sounding guitar. To my way of thinking, it's its own thing - and it needs to be approached very differently than a guitar - despite its obvious structural and visual similarities. So I prefer to not use the word "guitar" when talking about its bass range relative. To me that's like calling a bass a cello or vice versa - even though one proper albeit archaic term for a cello is "the small bass" in the classical music world.
But that's just me. I don't insist on it or try to get people to use my terms.
When people ask what I play, I just say: the low notes. Mostly on electric bass - but sometimes also on upright, ABG, washtub, CBB, keyboard, or wind synth.
To me, bass is a function and a role in music - it's not something specific to a particular instrument. So what I actually do is play the low notes. Not just some instrument.
Everybody I've ever said that to seems to be good with it.