For somebody who wants their web site to be as discoverable as possible (and who doesn't?), are Microsoft's Azure web sites (azurewebsites.net) a feasible domain to host sites?

I have a site that is both on an azurewebsites.net and hosted under a completely different name by discountasp.net

Both of these sites are exactly the same, except for the URL; whenever I update the code, I republish the site to/in both places. So obviosuly, they both have the same H1 and H2 elements.

Searching for the value/content in my H1 tag, I find my .com site listed #3 on google and #2 on both Bing and Yahoo; OTOH, my azurewebsites.net site doesn't show up on the first page at all, in any of them.

This makes me wonder if azurewebsites.net should only be used for Web API hosting and such-like, not for generic/commercial "public" sites. Are my conclusions valid?