I've heard the opinion that used tires weep out oil/fuel etc residue that they absorbed during their lifespan driving/parking on filthy pavement... I don't have any solid data to go with that theory.
However, I would expect tracks spend a lot more time on not-pavement, and thus shouldn't exhibit this as much as a tire might.
Any impact on plant life is not apparent to the eye in my experience; I've seen a plenty of abandoned old tires surrounded by vegetation just as lush as that a few feet uphill.
Rubber is used for green roof underlay material, pond liners, etc... Thinking that the aquaponics people must know what is safe for fish, I found this:
http://aquaponicfun.com/general/pond-liner/, which calls out EPDM as a bad thing.
Then I looked at what sort of rubber tires are made from. Apparently many sorts! One paper mentions that EPDM, which is listed as a no-no due to outgassing and chemical leaching on the aquaponics site, is useful at 40-50 parts per hundred in sidewalls...
Guess it all comes down to your comfort level! If you want to keep them away from food plants, they could still be great for pathways or retaining walls in other areas.