In any case, I find the mechanism design angle interesting regardless of the behavioral angle :)
Zendesk actually did a survey on this back in 2013:
http://cdn.zendesk.com/resources/whitepapers/Zendesk_WP_Cust...
And American Express found something similar in their Global Customer Service Barometer survey as well:
http://about.americanexpress.com/news/docs/2014x/2014-Global...
I doubt it's thought about in precisely those terms, but I've certainly thought "that's overrated/underrated" before, and had that affect my rating.
Or for that matter if I got a simple item and it works as expected. What's an Amazon Basics HDMI cable supposed to do? Does 5 stars mean that it turns HD into 4K through magic? But if it does what an HD cable is supposed to do (and seems well-built) I guess I should give it 5 stars?
I'm fairly sure at one point years ago I did see some data showing that rating distribution changes depending on whether the rater sees the average rating first, but it was a long time ago and I don't recall the specific differences now. In practice you're right that this isn't feasible for most use cases.
I do know that the rating distribution is strongly bimodal - on a 5 star scale I think 80+% of ratings will be either 1 or 5 star. Mostly 5 stars - IIRC they were around half of all ratings.
Surely you can't prove this simply by noticing that there are many 1- and 5-star reviews, as there could be many other reasons for that. One obvious one: people who strongly like or strongly dislike a product are more likely to take the time to review. I personally have never felt the need to review something if I felt "meh" about it.
One sample study might be to see how people's ratings change if they have a chance to see the average rating first or not, but that would be a tricky study as you'd need to get people to buy something without seeing the ratings.