The problem with rubber tires is that, well, they are rubber and so you have to deal with rubber rot and cracking over time.
Click on the picture below to see an example:
I have some old models with rubber tires/tracks and some old models with plastic tires/tracks. Most of the ones with the rubber tires/tracks show rubber rot and cracking like what you see in the picture above. Those with plastic tires/tracks look just fine.
The rubber tires/tracks also deteriorate over time in an unopened model kit. Even if stored correctly, rubber just deteriorates. I have an old model kit with rubber tires, but after opening the kit, I discovered the rubber has deteriorated to the point were the parts can't be used.
In the short run, does this make a difference? No. It does take a few years for the rubber to begin to show signs of it deteriorating.