In the cities, where real people live there, it is not. Every part of the city needs servicing, including center. Your plumber won't lug his tools on a scooter; your furniture won't teleport itself into your house either. Every now and then, the residents themselves need to bring in or out their heavier or larger crap, so issuing permits to entry to well-connected companies is not a solution.
Yes, I do live in city center; and yes, we also have people who know nothing about living there, but they go to pub there every Saturday night, so they have strong ideas how it should be. It is not limiting them, after all.
Edit: just for clarity: this model is already working (plumbers, movers and locals included).
In a given area (say a full city block, including all roads and alleys within and bordering that block), you might want...
- Pedestrian lane
- Bike+scooter lane (any transport that's ~20mph and <500lbs loaded). That may or may not include gas scooters (50cc Vespa type).
- Auto lane
- parking lane (could be a mix of bike/car parking)
- possibly a transit lane (bus, light rail, etc)
And you don't need every one of these on every block/street - you can alternate. Or use one-way auto lanes on alternating streets to make room for the other modes of transport.