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All your images appear to be 300x300 and forced to such a size at time of upload. Since images on your updated site are not sticking to that my guess is those parameters broke at some point. Edit your avatar field and ensure the parameters match the site that's working.

I would say it was a CSS issue, but doesn't appear you're using any sort of CSS to force a specific sizing on your userlist. An alternative could be some sort of image optimization functionality of a 3rd party extension. I know JCH Optimizer has such a functionality, but am not aware of it running this automatically.

CB does not reprocess images. All the source images on the second site you provided had various width and heights where on your first site you provided were all 300x300 in source. So they were stored that way. It is quite literally impossible for CB to have done this. It has no code to do this. Review your avatar field parameters and compare the two sites as it seams those avatars were uploaded like that.

I've reviewed both sites again. The URL paths on the site where they're 300x300 are from a cached resource. Their paths are as follows for example.

/images/cache/IMAGE.jpg

That is not where CB stores its images and something 3rd party installed has processed them and made them squared. CBs are stored as follows and is what your second site is outputting.

/images/comprofiler/IMAGE.jpg

If you want 300x300 forced by CB you can do this by adjusting the avatar fields parameters as needed, but it's not going to reprocess existing images.