Should Google Cloud Print be a part of Chrome? I don't think so. It doesn't feel like a browser feature to me. It should be a separate service, perhaps installable as part of some hypothetical Google Cloud Services Suite. I realise I may be drawing too much of a distinction between "client" and "server" features here, especially since it's more of a peer-network thing, but Cloud Print is a server-like feature, making your printer available over the internet. That just doesn't seem like a feature that should live in a web browser.
Mokalus of Borg
PS - You shouldn't need to install another browser just to share your printer.
PPS - Also, why isn't there a Cloud printer driver to make use of your Cloud Print services?