It's still a "datacenter" though, right? Just a smaller one. It's not a "region" i.e. there's no other services available other than cloudfront (and I guess lambda@edge).
Or do you mean they might not be owned by aws (or Google)?
Not really. Google literally just sends ISPs some servers stick into their racks with other networking equipment. These are very "scrappy" compared to what people think of as data centers, but if a room with some network cables, an AC, and a rack counts as a data center... then sure, they're datacenters ;)
> Once registered and qualified by Google, we will send you a simple agreement for joining the GGC program. After you have electronically signed this agreement, Google will ship you servers that you install in your facility and attach to your network. Google will work with you to configure the servers and bring them into service.
From what I heard, AWS rents a racks in commerical datacenters for its Route53 endpoints. So while that's also a datacenter of course, it's not an "Amazon datacenter".
Data center is a meaningless term these days, and varies by context.
It can be multiple buildings over a few square miles forming a resilient "region", or a single building, or all the way down to just some servers running in some rented rackspace in someone else's colo.
All the major clouds rent space like that for their CDN and smaller pops, and sometimes they even start smaller regions that way until they acquire or build their own structures.
I can't speak for AWS, but for GCP there are many more Edge and CDN points of presence than there are datacenters:
https://cloud.google.com/about/locations/ (flip to Network tab in map)
And in Google's case "Edge" simply means where you exit the public internet and get on to Google's own network:
https://peering.google.com/#/infrastructure
Although there are also "edge nodes" (caches) located within ISPs outside the Google network.
Disclaimer: I work at GCP, but not on networking.