Actually it's funny I saw this thread, I started off learning about Bass from my pops, and as a kid trombone etc in school, eventually I came across electric and never looked back, especially after I made it past the Metallica/Pantera stages into the Children of Bodom/Dimmu stages etc.
I've never really branched out much guitar-wise, but I had always wanted to play classical, and I recently picked one up to learn finally after so many years, and my reasoning was, I could branch out not just on guitar but musically in general, and just get that much more depth of understanding of relationships on the fretboard between chords/scales/modes, utilizing open strings, seeing it in a different way that can help your guitar playing on any kind, as well as have something to play when I'm not super psyched to jam some metal, and I gotta say, itdid exactly what I thought. It's a thousand percent worth it, you can do the same things on an electric but it just isn't the same and it won't be as fun. Definitely get a classical, doesn't have to be a $5k master class, just grab like a $300 or hit a shop and try some out see what plays alright enough so you can experiment with it and not break the bank.