https://www.runnersworld.com/running-shoes/study-zero-drop-c...
Most of these papers I've come across makes a number of assumption and use various methods that are proxies for what they want to measure. For example, they will force plates to measure the amount of force generated against the ground. But that doesn't necessarily imply more injuries because of the number of different components involved in your feet and legs. In fact, the foot is extraordinarily complex and I think that's part of Lieberman's general idea. I don't think it's prudent to reduce it to a single set of number and say "yep, more injuries" because having shoes on or off and different design of shoes can all affect how your feet and legs respond to that force.
It's not that I necessarily disagree with your statement but as far as I know there is no scientific paper that simply states, "shoes are bad for running" or "minimal shoes are good", etc. Making claims like that are often unhelpful because there isn't one simple answer to running injuries. We have a huge number of supporting muscles and components that are involved in running. Your feet is only one part in that system and even those are complex systems in themselves.