So looking at this from a tire engineer's perspective:
There are 3 things that take place when a tire is first put into service:
1) It grows. The inflation pressure causes tension in the tire and the materials react by stretching. It takes 24 hours to get most of it out. In fact, when tire manufacturers measure the diameter, width, etc. of tires, they commonly refer to those measurements as "24 hour measurements" - because those measurements take place 24 hours after the tire is mounted. A tire will continue to grow long after 24 hours, but 24 hours gets most of the growth out and is a convenient point in time to record the measurements.
2) There are compounds on the tire to aid in extracting the tire from the mold. Some are sprayed on the tire before it is placed in the mold and some a sprayed on the mold before the tire is place in it. In either case, the outside of the tire has these compounds on the surface (and slightly penetrated into the surface).
Some of these can be quite slippery, esp[ecially when wet, so caution is advised with new tires as it can take a couple hundred miles to wear them off.
3) The rubber contains waxes to help preserve the tire - both in storage and in service. Obviously, the tread gets constantly worn off, so the waxes don't stay on the tread surface. But during the first few miles, the flexing of the tire causes the waxes to move to the surface, where they flake off.
There are other things that also migrate when the tire is flexed - antioxidants, oils, un-reacted chemicals, etc - and they will get imbedded in the waxy build up. That's why you may see newish (as in a few days or weeks) tires with a color other than black. It's those other things migrating to the surface and being captured by the waxes - which eventually flake off. We aren't talking about a lot of stuff, but you can see it and it can make the tread surface a bit slippery.
Slippage on the rim? Not so much. First, it takes quite a bit of movement for balance to be affected. Second, slippage is usually small even if there is slippage. The only time I have heard of issues is when silicone is used - and then the problem is HUGE!!