If your choices are "use Jira" vs. "build task management software with an LLM" then you are already in a losing proposition. Go spend some time with Redmine before building your own. Redmine is free, far better than Jira, and already includes the features you don't yet realize you need.
Yeah, it’s a false dichotomy. Ironically, even in the advent of LLMs very little has changed here. An off the shelf solution to a problem has always usually been better than building it yourself most of the time. People just think it’s easier to build now, and it is. But that doesn’t mean it’s the efficient choice.
So I'll build something simple for us, that integrates with our systems and how we like to do things.
It won't cost us much since our meagre requirements are nothing comparted to a full fledged Jira replacement.
Without LLMs it would have taken maybe a couple of days effort and perhaps an hour a month to fix any bugs we miss or add an extra overlooked feature.
With LLMs ... we shall see.
We won't set out to solve all of the world's issue tracking problems, so that will save a lot of time.
KISS is the goal.