Passing along the 6th iteration of our pricing analysis work on identical items found on both Wayfair and Amazon. We try to keep the items consistent each wave, but whenever they are discontinued and no longer findable on a platform we swap it out for a new identical item that we can find. 
To View Analysis and Identical Item Comparisons:Open Pricing Analysis With Identical Item Images
Consumer Feedback/Perceptions on Cross-Shopping From Consumers:Open Report*Slides 47-50 has feedback on cross-shopping AMZN and W.