No, I'm complaining that it checks individual connections, not the narrowest connection point of the same net. I guess there are a couple of reasons for those checks and strictly speaking KiCad is correct. But from a practical point of view, I'm only interested in narrow bridges that can lead to the loss of functionality if broken.
Also, those narrow bridges are KiCad's fault too. The actual gap between the pads is wide enough, but KiCad's polygon generator narrows down the bridges.
Here is another example of this "bad" behavior. It flags all the small dummy lands of plane formed by the traces. In this case, if the connection is broken, functionality is not going to be affected at all.
I may be asking too much, of course.