When you have a decent amount of gold/silver badges, silver/bronze tag badges might not be visible on your profile when you sort by class.
My own SO profile is an example of this situation; I currently have 4G 8S 31S, but a visitor will see trivial silver badges like Constituent and Civic Duty rather than my python badge, which I think is unfortunate.
Could and should this be improved, perhaps by changing the value of tag badges?
Note: Tag-badges already have a fractionally increased sort value, as they appear before other badges of the same color. I was thinking more of bumping them up an entire level or more.