Seeing traffic that never materialized.
Headers aren't part of any standard log format.
Every web-server configuration and every log analysis script will need to be modified, unless Chrome...
1. Adds a GET variable to each URL to signify this is a preview pull (ex: GET http://url/?ChromePreview=Background).
2. Hits the URL again in some way (ex: HEAD http://url/?ChromePreview=View) to signify that this is now a view.
(edit: adding GET vars is a bad idea as outlined in comments)
Which will solve only half the problem, you'll still need to update your analysis scripts in a non trival way.
Headers won't work here well as these are not logged, and the only thing you could do with them is block the request, or have your Apache, IIS, Node.js, etc add non-standard entries into the log file, which creates more problems.
(edit: headers are about the only way for this to work as outlined in comments)
Not to mention the extra traffic on the web could be doubled.