I belive he is correct. Michael Faraday (very poor mathematician) one of the great experimental scientist ever and got Maxwell thinking about field theory with his papers. And even Maxwell had to be re explained and paired down. Darwin, possibly the most influential scientist the world has ever seen in setting the foundation for Biology as a whole was not a math guy. His ideas go all the way down to the molecular level. People used his ideas and put math to it (population genetics, protein folding problems) Einstein had to have help putting his ideas in mathematical form.
I am initiating this as I work with math guys who fail to see the larger ideas, and larger idea guys that don't see the math. I am fortunately somewhat of a middle man translator. This is basically why I see this dichotomy. If everyone was more like Feinman I would not have a job. I have worked with math geniuses imo, who can't relate math to some fairly simple physical ideas. They like to play math gymnastics (which is fine), but application is a problem.
I really think there is a lot of back and forth. Idea, model making abstract thinkers that tinker with basic data (the Higgs stuff) cannot necessarily write the equations to fit their ideas. And the math guys can't engineer the machines to test ideas , but they can certainly tell the engineers what won't work if the engineers can ask them the right questions.
Sorry to be so long winded, but I'm fairly passionate about this as I live with it. I'm not saying there is a perfect dichotomy, as I intentionally listed Feinmam, but I do see some real contrast.