Just to give something concrete.
Also consider that Score can at times boost consensus candidates. A simple example would be where some voter would give 1 or 2 points to a candidate of the other side and helps them win over the more partisan candidate Approval might have boosted.
If it’s the majority versus a supermajority-approved candidate, it’d appear to allow the supermajority to win most of the time. I don’t see much possibility for the majority to exaggerate their preferences in a way that they couldn’t do in Score in that particular scenario.
It’s also maybe worth pointing out that a self-aggrandizing majority probably wouldn’t be using Score in the first place.