Hopefully, you're getting better metallurgical material that has been machined (not cast) to the specified tolerance of the design, and the tolerance was checked.
Also, you should be getting a set of rings that have been honed so the tops fit the bottoms, and very importantly, both rings ought to have the same center.
What I mean by that is that both rings should not have an out of round condition even if they have the same out of round condition. Most scopes fail because of improper mounting. Poorly made rings and bases contribute to that.
As for
Is there really any objective reason to spend the extra money?
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I can't answer that one for you. I will say this though, the most basic ring I recommend is Burris. They have a bunch more meat on them in case lapping is required.