From safety point of view, none of this is important for when everyone follows the rules. If everyone follows the rules people won't get hurt both in the status quo and under a stop-as-yield regime.

I think the interesting questions lie in the grey area when not everyone follows the rules because that's the reality.

What if it's not a 4-way stop but a 2-way stop where the driver has the right of way? In the stop-is-a-stop status quo, their expectation is that they can drive at a constant speed on such a road, without having to prepare for emergency braking at every intersection. In a stop-as-yield regime the driver should have the expectation that cyclists might make a mistake and show up from some intersection. Assuming a constant rate of errors from cyclists, I'd expect to see a decrease in injuries in such cases. 🤷