M.D.
The problem is that you have no idea what kind of applicant tracking system the company on the other end has. Some places have an automated initial screen, but at my workplace (which is a large employer), when there is a position open for which I am supervisor, I see all the applicants and it's up to me to quickly screen through them to narrow down to the top 10 or so, which I then spend more time on.
I can tell you how I screen them, but I have no idea how universal this is. My personal method is that I quickly read the cover letter - which I absolutely expect to be tailored to the position. Then I screen the education and experience listed on the resume to make sure it meets the minimum requirements. I don't expect the resume to be extremely tailored to the job, but I do need it to have enough information to let me know if the person at least meets the minimum qualifications. A person should be able to figure what specific keywords I'm looking for in terms of experience based on the job description - both required and preferred skills that are listed. So, does the resume need to be tailored? Yes and no. Not every line on the resume needs to be specific, but if the job description lists 5 required skills, those 5 skills should be listed somewhere on either on the resume or in the cover letter or I am left to assume that the person is not qualified for the job.
I have to say though, once I get past the "does the person meet the minimum qualifications" (which is usually a lot of people), what really propels me to move a person to the very short "call" pile is a compelling cover letter.
Good luck to your husband.