No Wheel Weights!???

It is possible to get a tire that requires no weights. Indicates a well made tire. Unlikely to have a set of 4 work out that way. Even with real good tires like a Michelin.
Make sure you have them Dynamic Balanced. It's a 2 plane balancing & is the right way to do it. Much better method.
The "dots" on the tires are there for mounting & valve stem orientation, but can be
RED or YELLOWand are positioned differently. RED is usually mounted opposite the valve stem and YELLOW at the valve stem.
Regardless of the dots(or no dots) the wheels need to be Dynamic Balanced.
As Toolmanmike points out the force is pretty great with only an small amount of imbalance. 2oz. of imbalance is equal to 20# of force against the pavement at highway speed & increases as speeds go up. This is why trailer tires need to be balance also.