There are about 1 billion cars.
Is the surface of Earth crowded?
Well, not only is the surface area of a single sphere in low-earth orbit (LEO) bigger than the surface area of Earth, you have to remember we're dealing with volume. We can move in three dimensions and thus there are many "surfaces".
There's an order of magnitude more space for things in space. ;)
We're not even going to get close to delivering 1 billion objects to orbit anytime soon. And even then, it wouldn't be crowded.
Sure, the surface of the earth is not crowded due to the volume of cars. But that doesn't mean that car traffic is trivially easy to solve or travel is automagically safe.
Space flight safety should mirror (or be better than) air travel safety (in accidents per mile terms); if space flight becomes more like cars, then space flight is probably screwed.
An orbit that would be opened up by cheaper launch services is VLEO (very low earth orbit) where orbits decay in a year or two. There's virtually no debris there because of the decay, and if you can launch cheaply enough, you can treat your satellites in that orbit as disposable--an ongoing expense rather than a capital expense.