If you want to automate the "make a note" and "break down into needs and wishes" part you can use https://www.getcustomeriq.com/

Tossing https://www.getcustomeriq.com/ in the mix - pretty much dedicated to this

https://www.getcustomeriq.com/ is pretty much dedicated to "evaluating feedback and determining whether it is actionable" fwiw

Totally agree re: everything's a ticket. I consider the backlog to be only prioritized work - things we determined need to happen they're just not happening right now. Features we've agreed on, tech debt, etc.

I do think it's important to organize all feature requests, pain points, feedback etc. though but it needs to be separate of delivery management and it should be thematic (assuming there's a lot of feedback). That's the point of CustomerIQ (I'm a founder), to give that a home but also quantify themes over time. These would inform the backlog/possible make it in, but keeps delivery tools cleans.