At work, several teams in my department uses JIRA for analytics requests
I know when I was doing QA work for 5th Planet Games back in the day that we operated on JIRA as well. I only know the QA portion of it with submitting the JIRA request, I'm not sure how it works on the other end, but I'll trust your judgement on not operating it.
The good thing about doing it on the forums is that it is easy to setup and will be easy to see how beneficial it is.
I think what you are mainly looking for is people to just clean up the clutter of what is already a known bug and WAI and to save you the headache of going through it yourself yeah? As Migi said, having the mods test things is a question, as they can't help troubleshoot things in the DB from dev point of view.
The way I'm thinking is you just want the clutter removed so you can focus on what is important to you rather than having to respond to what is essentially constantly yeah?
I think just a clear structure will sort people out as well. By having a format (that you already request) they can easily transcribe things after they look at them, but some things might not be apparent. Perhaps a discord channel for the bug team would be beneficial so they can seek clarity from yourself/other mods that might be in the know as well.
v/r