Perhaps of thinking of why our current cars don't work for battery swapping, instead think of the requirements to make it work, work backwards from there. Then ask if that makes sense.
I think a lot of the arguments here could be summarized as "it's a bad idea because the cars we have now are not designed for it". For example, purging all air from the cooling lines, structural packs, etc. Those are solvable engineering problems: if the industry had set out 20 years ago with battery swapping as a requirement then the cooling systems would not care about a few bubbles, the packs wouldn't be structural, etc. In other words, I don't think these are reasons why battery swapping is fundamentally a bad idea. Just reasons why battery swapping is a bad idea for the car I own today.
Tesla tried it: to be clear, they ran an experiment about battery swapping on Model S cars that were already on the road. I have no idea how much design of those cars was intended to actually enable/facilitate the swap. Perhaps nothing?
People wanting extra care of their battery: I think that's also related to the current situation and not fundamental. In an alternate universe where you didn't own the battery and you knew you would be swapping it in a couple of days anyhow then in that alternate universe we wouldn't give a damn about micro-optimizing the life of the batteries. We would only care about how long it would take the local service station to swap the battery. I guess what I am describing is a hybrid of above: instead of "not owning the car", I'm suggesting you own the car but not the battery.
Extra inventory: yeah that's a thing. Having battery swapping stations as ubiquitous as gas stations, each with 20-30 batteries in the back being charged...lots of inventory. Lots of fire insurance. Etc.
I'll add one of my own: we would have more of a need to standardize the batteries. After 100 years the auto industry still cannot come up with a single oil filter that fits every car. At least oil filters are small and cheap enough that your local NAPA can stock a couple of each. Try that for something as large and expensive as a car battery. Imagine that mess. And yet we'd still complain once the EU saw fit to mandate a single battery.