Picture me silently giggling to myself everytime a highly compensated corporate attorney drones on and on about how the URL his client published openly to the public internet was "actually private property akin to a locked private residence" which surely entails a trespass.

It makes me feel a bit giggly because that person just wishes so hard that it was true, but they have absolutely no idea what they are talking about.
They have no idea that while their client may physically exist in (ex) Tennessee, they have contracted with a web host in Arizona.

And that hosting company rents their storage servers from a vendor in Florida (which is where the physical hardware exists that "virtualizes" [i.e. imagines] the hard drive which hosts the attorney client's website files).

To top it off, in order to serve those files to any and all requests from the public, in a quick and efficient manner, that vendor in Florida contracts with another entity who keeps fresh copies of the hosted files in cloud caches across the country in a content delivery network.

The answer after giggles have ceased is "No". In reality, the attorney's client in (ex:)Tennessee blindly uploaded files to a faux hard drive without even knowing which state it was physically located in and instructed the host to make it all available to the world...

...after which the subcontractor (name likely not even know by attny's client) proceeded to send copies of each and every file to a transient phantom network cache along with the indication from the client of who to make them all available to (the world).

So, in this fictitious example, the attorney's real beef is with some ghostly dispersed cloud network that was actually instructed and authorized to make every byte available to every living person on the planet via passthrough from the company in Arizona which the client hired.

tl;dr- Wrong tree they bark up.