The secret is to have a healthy system for taking in those requests, queueing them by priority, and saying, "you are 117 in the queue, you can make it faster by contributing or by explaining why its higher priority".
You can't let feature requests get to you, the moment you do your users become your opponent. None of those requests are entitled, the author has clearly already reached a point where they are antagonistic towards requests.
Having in the person taking these meetings for a software vendor, it can get really toxic quickly and I never had more than 1 meeting a quarter with really toxic people and they were at least paying for the product and maintenance so hearing them out was part of the job. It unfortunate to get to the point where you view customer requests as antagonistic, but I can see how it happens. Some people really feel entitled, and some have a job to do and limited resources or control to do it in.
Does it have to be a meeting? Although it's about sales calls, I'm reminded of https://keygen.sh/blog/no-calls/ (HN discussion: https://news.ycombinator.com/item?id=42725385 )