So the PSP is actually a bit different from the other version, and by that I mean differences other than load times so I'm going to list the differences here.
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There are two exclusive characters in this version: Mappy and Mr. Driller (Neither of which are faster than Toc Man), due to this Pooka and Fygar are already unlocked.
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there are two exclusive game modes, one where you have to collect pac-dots and one where you have to collect letters to spell Pac-Man.
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There's an exclusive race, Subterranean Speedway which takes around 5 minutes and isn't a very good race in my opinion.
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There are only 6 people in a race instead of 8.
Now that we're done with the noticeable differences let's move on to the small changes.
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There are 4 cherries in Rolling Hills instead of 2.
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The shortcut in Ghost Mansion is shorter by approximately 4 seconds.
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The crabs in Pirate Cove don't exist.
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There are only 2 worms in Galactic Outpost
That's really it for differences, if the extra race didn't exist I'm pretty confident that this would be the fastest version of the game. If I find anymore differences I'll add them.