I think they mean both "know about a lot of different fields" and also "be able to connect them together to draw inferences", the latter perhaps being tricky?

Maybe? They should speak more clearly regardless, so we don't have to speculate over it. The way you worded it is much more understandable.

There wasn't much room to speculate really, but requires some knowledge of understanding problem spaces, topology, and things like minima and maxima.

"inaccessible" rather than "ambiguous" -- but to the uninitiated they are hard to tell apart.