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I am just asking can renderosity actually be a private site if they are a business?

Your local pharmacy is a private business.  They pay their bills with the money gathered in that business.  The sidewalk outside?  That's public.  Same goes with the grocery store (unless it's a co-op, those are owned and operated by the co-opers), hardware store, sporting goods store, craft store, etc.  Even if they're Publicly Traded (as in Walmart, Target, etc), they are still a private business and do not have to allow you any Constitutional Rights.  Even if you work for them.  So, if you do something that they don't agree with (try standing in the middle of your local craft store and shouting.  Anything.  Either they'll do their best to hush you, usher you out the door, or call the cops.), they can boot you out the door.  They don't even have to have a set of rules posted for customers!  Imagine that!  WalMart doesn't have a posted TOS!  (Well, their no shirt, no shoes, no service rule, but, beyond that...)  Can you imagine someone walking in there with no shirt and no shoes on, being redirected to said sign, and demanding that the rule be changed right there and now?  Me, either.

Why would that change because a business is online?  It doesn't.  Just because it's open to the public does not mean that it is a public site.  Public sites are government sites.  A Private site may be open to the public, but still be private. 

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