My CV is similar to David's and I find myself also having to badger people for the time of day. I have worked in a few roles related to a particular industry for a while and still have trouble convincing people that I'm quick to adapt to the various parts of a large scale ecosystem from R&D to product design and logistics. Even though all the details are on my CV.

I think hiring managers are overwhelmed and exhausted and respond much more strongly to something digestible than to something wide-ranging. The tailoring of your CVs and resumes should be much more aggressive than you initially expect.