> This ... header ... will not contain any personally identifiable information
> a seed number which is randomly selected on first run ... chosen between 0 and 7999 (13 bits of entropy)
They are not including any PII... while creating a new identifier for each installation. 13 bits of entropy probably isn't a unique identifier iff you only look at that header in isolation. Combined with at least 24 additional bits[1] of entropy from the IPv4 Source Address field Google receives >=37 bits of entropy, which is almost certainly a unique ID for the browser. Linking that browser ID to a personal account is trivial as soon as someone logs in to any Google service.
> Experiments may be further limited by country (determined by your IP address)
They even admit to inspecting the IP address...
> operating system, Chrome version and other parameters.
...and many additional sources of entropy.
[1] why 24 bits instead of 32? The LSB of the address might be zeroed if the packet is affected by Googles faux-"anonymization" feature ( https://news.ycombinator.com/item?id=15167059 )