Modern society uses the same system for individual transportation, which makes it inefficient in densely populated areas. Banning individual car traffic works in cities works because alternatives can be more efficient and they are practical because of the short distances involved.
The amount of gear required for even a small production can be significant. I also do sound for a wedding DJ, and the rig that we bring to any event even if they have their own PA requires multiple trips with a large folding cart to bring from the vehicle to where it's going. We currently handle this by finding the closest place possible to pull up, throw our hazards on, get all the stuff inside, and then go find parking. Requiring another mode of transportation to and from the venue would add a bunch of time and difficulty, no matter how convenient it is.
This isn't a hypothetical; we did a gig in Atlantic City last December that was at the end of a long pier into the ocean, and the closest we could get was a no-parking zone on the other side of the board walk (the venue actually told us this was SOP). After unloading we put the cars in a garage a few blocks down (when you're using muscle power to move hundreds of pounds of gear, you get as close as possible, it's a safety concern). Not only did it take hours in freezing temperatures, but we had to bring an extra person with us to stay with the cars to make sure they didn't get tickets. It sucked. Hard.