To provide an IT analogy, imagine being tech support for a bunch of alpha-cowboy engineers. They’ll tell you they did all the obvious things, they’ll object to being asked to perform simple diagnostic tests (“does the problem go away if you create a temporary new user account on your system?”), they’ll resent you for not having an immediate solution, and they’ll resent you when you find the basic step they missed. Yes, they’ll accept the solution you offer, but they’ll fight you tooth and nail until it’s unarguably proven that you’re right.
That’s often what cross-domain innovation in science is like.
EDIT: per comment below, this is a much better explanation: https://www.smbc-comics.com/comic/how-math-works