I propose to add a requirement for the steward-badge or reviewer-badge to help reviewers "Learn to love that Skip button".
I believe that ignoring "Skip" in current badge requirements tends to encourage sort of the blind spot about using this option in reviews ("Avoid! No progress on my badge!").
As the popular opinion is that There is no shame in using "Skip", it would be nice if some of the badge requirements reflected this, and rewarded users for making the correct choice when they are not sure on the review action to take.
I think Skip should be used to make a badge harder to achieve and teach reviewer a good habit along the way, for example:
awarded for 1000 reviews and no less than 25% skip actions
Meaning that one has to perform at least 1000 reviews (just like it is now) and, additionally, fewer than 25% skips would block receiving a badge.
I personally was incentivised by the prospect of earning badges to pay the review queues some attention. I think that this proposed change would teach users like me (who don't set out to abuse the system) the importance of using "Skip" to review correctly.
This would work in a similar manner to the electorate-badge currently works:
Voted on 600 questions and 25% or more of total votes are on questions.
Electorate encourages voting on questions, to promote good ones worthy of attention, helping negate the bias of just voting on answers which helped you personally.
Hopefully adding this similar requirement to the Steward or Reviewer badge would help teach users to be less reluctant to press "Skip".