Damn right.
Consider that at 24 fps, the shutter remains open for 1/24 sec. Try taking sharp pictures with a camera having a 1/24 sec shutter time - anything that moves will not be sharp. Now, you might think that decreasing the shutter time to say 1/100 sec or 1/250 sec, and play back at 24 fps solves the issue. It doesn't. Especially in sports, for instance a tennis match, you would see this: o o o o o o. The tennis ball will be sharp, but seems to appear multiple times when moving at high speed. Not acceptable.
Cameron is damn right - only higher frame rates allow for faster shutter speeds and sharper images.
And damn those tv manufacturers with their snake-oil "interpolation frames" that do not help at all to get a sharper picture.