Personally, I find bass solos intriguing. There are a lot of different ways that bassists can solo - some are absolute virtuosos, like Jaco, able to solo freely on their instrument on the same level as a saxophonist for example. Other soloists aren't as virtuosic but instead play within the limitations of their instrument - Jack Bruce comes to mind. The division between jazz and rock is interesting - I think whether or not you like bass solos will depend on what kind of music you listen to. In some kinds of music, solos are the lifeblood of the music - in others, they are subservient to the song.
I remember watching one of those "Bass Days" videos - something like that, where a bunch of top bassist perform, and at the end they had a bunch playing together at the same time - I seem to remember Steve Bailey, Oteil Burbridge, Tony Levin - all the solos were pretty boring, the best one was Billy Sheehan! His had attitude and conviction that the others lacked.
I finally started learning how to solo in the past ten years. I've been playing for almost thirty. I started mainly out of necessity - I started making my own original music, and couldn't lean on a guitarist to take the lead anymore, so I had to do it. I was partly inspired by blues artists like Muddy Waters - they aren't virtuosos, but when they solo they play like they mean it. So I finally learned to work within my limitations and put my heart into my playing, trying to turn off that part of my mind that tells me that I'm not good enough, etc.
But also take into account that I don't play in a band these days - I know that in a band, where songs are the focus, that often the simplest bass line can often be the most supportive and best for the song. I'm lucky that I can make music for myself without worrying what other people think. I try and make music that uses the sounds of the bass that I want to hear, and instead of it being buried underneath other instruments, I can make that the focus of the song.