My experience is similar but at a differet level of seniorty. I've applied to ~15 jobs for engineering manager and got 1 answer.
On the other end a recruiter reached out to me and I'll be doing the final interview with their VP next week.
I don't think we can draw conclusion at that stage (we are a dataset of 2..). But I'd love to have access to the LinkedIn dataset to figure out if applying for jobs is broken at scale.