A lot of folks use blinds which are abject shit for keeping out light, blackout curtains are becoming more common but its still not the norm. Also im pretty sure the OOP is in a Hotel meaning thet prolly cant do any modifications, also if you want to go to Vegas assuming you have a car stay in one of the satellite towns, Primm, Boulder, or a KOA campground.
Fun fact, most LED displays will only display a very specific wavelength of light for each primary color, if you can isolate the specific values of red, green, and blue, that the sphere uses in the LEDs in its displays, and get tint/filters for those wavelength ranges, you can effectively "tint" the windows where the sphere would be nearly impossible to see, while almost everything else would be fairly clear.
Almost all other light is broad spectrum, so even a single color item would reflect a much larger range of wavelengths than what the sphere produces, which may make red/green/blue objects less bright through the window, but they will still be observable, while the sphere is basically just black.
Not really. I stayed at the Venetian last year, and my my room didn't include the sphere view in either the features or as an upcharge. (The sphere is "part of" the Venetian, so they'd be the most likely to advertise rooms with a view.) Their room is quite a bit further than mine was. They may have paid for the strip view, but without specific advertising they probably would not be able to tell ahead of time if they'd have LOS on the sphere.
It's a huge ball they put up in Las Vegas because why the fuck not I guess? It seems to be a huge screen because it was a US flag in the other picture I've seen.