Would you bother asking for feedback just from an application rejection?

I got a rejection today from a recruiter who clearly had read my application and was responding to it vs. a generated rejection. The position was newly posted and on paper I would be a pretty perfect match (and this is not a random job, it's mid/senior-level and somewhat niche). My question is, is it even worth asking for feedback at this stage? I've had a number of applications progress to further rounds so I don't *think* it's an issue of my materials, but this was probably an even better fit (again, on paper) than much of what I've applied to. So I'm curious, but not sure if it's an egregious question for just an application rejection.