Very difficult to accomplish
Everyone would start creating their own 'standard' battery. If you got around that and got a single standard battery, you'd need it to be modular so that a Tesla could use a multiple of the same batteries as this Smart. That'd lead to a lot of excess bulk (each section would need battery monitoring hardware, a casing that's suitable for massive Lithium batteries, etc).
Then you've got to find the extra space (and this has to happen at several points in somewhere like London or New York or Tokyo) to mount something that's rather larger than a regular garage.
Then there's the storage issue- a mass of lithium cells like that would need to be stored securely- so that's either expensive excavations or even more expensive surrounding land being required for storage. Probably underground as with regular fuel tanks to reduce the footprint of the station and discourage theft.
And then delivery of power / batteries- you'd need either a massive truck to haul around the dead (and still very heavy) batteries or a seriously huge mains hookup. And that hookup needs to be rated to take that extra power right back to the national grid- so if there's one slightly weedier bit of residential wiring in the way you've got to replace all that or risk battery shortages.
What about battery condition monitoring? A year-old battery that's been used daily will have lost a good % of it's capacity- what would you do with those? Keeping it's out of the question- the chances are it'll keep coming back to you until it finally shuts down.
By comparison- with petrol stations, a tanker turns up once a week and empties itself into another tank.
Battery swaps would be a logistical nightmare for public use, though could be a very, very good solution on a residential or corporate scale (where the individual batteries would be relatively small and easily stored).