It is a great idea but it could also backfire depending on who you let qualify as an influencer. You-tube has a lot of fake gurus and therefor influencers will need to be comfortable with sharing the audience their real stats.
on the flipside, more people can get their start in creating content as an influencer because they would not need much to get start on creating product reviews.
Amazon's program is to aspiring influencers as what Medium is to aspiring writers and bloggers, an opportunity to get paid for sharing amazing ideas.