Bearing edges are one of the most critical aspects of a drum's sound. Without a good bearing edge the drum can sound boxy, be lacking in body, have bad overtones, or be difficult to tune. Sometimes all of the above. No amount of tension would completely fix it IMHO.I'm wondering if it really has any impact on sound. The head conforms to the bearing edge with enough tension on it. And reso heads on snares are cranked pretty tight more often than not.
If you put that snare on a level glass or granite surface and shine a light in the middle, light will shine through in 100 different places. Those edges are not good.
Here's an example of light bleeding out under a bad bearing edge...