Sorry, I don’t see the relevance. VSE is about voter satisfaction with outcomes. I’m talking about quality of feedback, and mostly for those who didn’t win. VSE doesn’t try to measure that.
Under STAR, if there are at least 6 candidates, I’m likely to give a number of stars from all of 0 through 5 stars inclusive, so that my ballot has maximum effect in the runoff round(s) Approval simply doesn’t allow expressing such gradations to begin with. Different people will set their “approval cutoff” at different levels, but all information about how they did so is invisible.