To the best of my knowledge, no - your place of residence is considered to be private property and thus there is an implicit "no access without authorization".
I think a better comparison would be comparing LinkedIn to a public property (such as a commercial store) and thus there is an implicit "access allowed until revoked".
I think that realistically, there are strong parallels to this being a customer/company dispute over who has access to the company's store. The door (HTTP protocol) has to be walked through for the customer to see the wares (LinkedIn profiles) and can be guarded by security (some form of authorization).
I think the question being asked is a valid one - should a company have the right to bar access to otherwise public information if the customer is not tampering with your system? If so, to what extent? If undesirable robots shouldn't be turned away what about DDOS traffic? What forms of flow control become legal in this case?
I'm honestly curious what the courts decide and how that may impact other websites that have tried to combat scraping, such as Craigslist.