I think it's quite smart, actually. Why not take the easy route when it is also the correct one? I also got the impression that Chase is often right, but I can't support it with empiric evidence, because I never took the trouble of counting. But: He is the one who often comes up with the creative, out-of-the-box ideas: in the Pilot, where he suggests using the X-ray machine to find the tape worm and in Kids, where he suggests the wotsit-method used by his old professor ("who touched him in a naughty place...") are two examples that leap to mind.

I do wonder about why Foreman took on the fellowship in the first place. He doesn't like House and he doesn't like House's methods, nor does he believe that House is right most of the time, and yet he wants the job and claims "he learns something" (in Meaning). I don't quite get the reasoning behind that, but maybe a Foreman fan could explain it.