You should be able to choose how you want to play your instrument. How it feels natural to you. As mentioned here Geddy Lee, and Wooten have their own techniques as for example James Jamerson would only use his index finger to play the bass (they called it the hook), and boy was he good at it. So it is really a matter of you deciding what is your main goal. Are you doing covers but want to have your own style? Or originals and have your own style? in this case i'd say be creative, bow your electric bass, pick it with a drum stick do whatever you feel like, experience in order to create your "voice".
I can share an experience i had once where a guy had a bass on a stand connected to an amp with a drumstick between the strings and the neck of the bass, he would hit the strings with another drumstick and would pull the first drumstick up and down to create sound effects. It was strange but he created his own "voice". So if this is the case go for it.
On the other hand since you are coming from guitar i would suggest that you should make an effort to learn the fingerstyle part as it will only enrich your play.
Personaly i don't like how pick sounds. I used to play in a Punk-Rock band using fingerstyle.
My go-to exercise everythime i feel rusty on my right hand i can't find it online so i'll just doodle it here:
I: INDEX || M: MIDDLE
Going upwards:
G:-I-M-I-M---------------------------
D:----------M-I-M-I------------------
A:-------------------I-M-I-M---------
E:----------------------------M-I-M-I
Going downwards:
G:----------------------------M-I-M-I
D:-------------------M-I-M-I---------
A:----------M-I-M-I------------------
E:-M-I-M-I---------------------------
Note that when you finish the downwards exercise you end up with an inverted upwards exercise so if you continue on doing it inverted you will end up with a inverted downwards to finally reach the first exercise again. Its a cicle. Do this repetedly with a metronome and you will see your fingerstyle improve reasonably.
Also note that on the upwards exercise your finger on the 1st beat is always different and the downwards exercise your finger on the 1st beat is always the same.
Hope it helps. Cheers!