My knee-jerk thoughts: you should do it regardless of who else wants to read it. Whether or not anyone else wants to read it, you are feeling an urge to share it; honor that.
In the process of serializing it, the opportunity to revisit some of the themes, and/or how you approached and presented them, may present itself. There's no timeline for posting the writing, so you could explore rewriting it as a you go. That way, it could be a bit of a new adventure for you. And maybe inspire new stories along the way.
Bottom line, will you experience more regret later from publishing it or from not publishing it?