There is no difference between the local and remote Googles. When your page is downloaded by Googlebot, it is distributed to all datacenters. There is no physical www.google.ca, www.google.de, etc. Google distributes requests for a specific google to your nearest datacenter. You can check this by starting the program nslookup on your computer. This network utility is present on most computers.
Then enter the names of a local google domain and look at the IP addresses. Enter another local google domain and check the IP address again. You could test: