Yes actually distributing them in any meaningful capacity, beyond the kind of tirechanging quick servicestations who are allready fairly well equipped, probably could never be quick to take off... If they were ubiquitous, little swapping contraptions as you described would be the kind of thing the more boutique gas stations would invest in just for customer satisfaction, or because they have other concerns and means of spreading the load (gigantic gas stations with 20 plus pumps), or because the company selling battery subscription makes it a paletable deal to them or whatever. TBF the whole idea is less about filling them up...
Even in my own usecase I don't see myself swapping depleted cells for charged cells, eventhough I won't reach anyway near the loading speeds you have for cars, and in total there are only 7 such plastic boxes as pictured to swap out. There is a degree of danger involved into fiddling around with that, do it too often and you get careless... what I will absolutely do, is run routine health checks and swap around cells between individual plastic boxes every 4-6 months. It's easy to do, measure volts of all series (which is allready being done by the bms constantly), those that start deviating too much, measure individual cells swap weak for good cells until the volts are more or less equal again. Omitting the possibly multiple charging processes that might have to be done to get good measurements, the actual manipulation is work for less than 2 hours. 2000watthour battery for bicycle, less than 900€ in parts and cells, tho tbf an embarrassing amount of workhours to cut PEHD into jigsaw and solder brass springs together... And it gets to live inside an aluminium box between the two tires of the real axle, so the shape and watertightness are much less of an issue for me to be fair.
But you know the fact that individual cells would in theory be exchangable, the fact that you can partition the battery and swap around parts yourself, as a person about to invest into an expensive new car (or in my case, wanting to build an ebike), I would value that very much over a half a ton battery that comes in one block and needs a beam hoist or a crane or such, and other special tools (or in the case of bicycle comparison, 400-500watthour readymade battery with propriety sockets, for half a grand or so).