Recruiters and hiring managers wade through a tall stack of incoming resumes, most of which are not at all a fit, and often miss subtleties. Strong candidates may need to work around the process to make an impression and get hired.
In a job search, *you* are the product that you’re trying to market. Look for ways to apply your product management skills to yourself: segmentation/targeting, turning features into benefits, and solution selling. Become your own demo.