taras0000

Not really, unless you are running tires that are very far apart in their inherent qualities. You also want to match tires to your preferred/most used track.

On a shallow, outdoor concrete track, you might want to run tires that trend closer to road tires in qualities. Something a little bigger, durable, and lower psi if it's bumpy and you're not pulling more G's in the turns. A steeper wood track would require a more supple casing, softer rubber, and a higher psi. Here you're looking to mitigate tire squirm to give you better feedback and more predictable handling.

I "mismatched" tires all the time to dial in what I needed/preferred from each tired based on being front or rear. The front tire on a track bike sees more forces placed upon it the steeper the track. I would put a softer, higher psi tire on the front for steep tracks for this reason. For shallow tracks I didn't really care what tire combos I was running because it's harder to get a tire to its limits on a big shallow track.