Unless it's a physically different disk, as opposed to a different partition on the same disk, that won't make any difference. That said, I know that you do have multiple drives, so it's likely that you did do that, as opposed to most people who just have one drive.

Also, the primary reason that you don't want to disable the page file is:

The OS uses RAM to cache files on disk for speedy access. The page file is used to write idle memory out to disk to provide for more available RAM. The idle memory is from things you're not using. The files it caches are files that you are using. If you disable the page file, you're preventing that idle memory from being written to disk, which means that you're preventing data that you are using from being cached (as much).

This is not true if you never need more memory than your have RAM. In that case, it could speed up switching to an idle application, as it might have aggressively paged that application's memory out to make more room for file caching. But that's likely to be an odd scenario.