I've tried not to discriminate on the basis of a degree, having had some wonderful experiences with very smart, very hard working people who became engineers by the force of their will. But over time I see fewer of these. More and more resumes are filled with BS, CS, several minors, one or more masters, and the like. There's a competitive pressure that raises the stakes in job seeking. If one degree is good, we seem to think more is better.
Engineering is a very diverse discipline.
We need thinkers and doers, inventors and implementers, designers and troubleshooters. Sometimes one person contains all of these skills, though more often a team comes together to complement each others' skills. The whole is greater than the parts. When it's time to hire most of us look for the standard requirements, probably including some sort of degree. Smart, Works hard, Ambitious, and Nice.