Adobe doesn’t preannounce support for cameras so you won’t get an answer until it is released. It usually takes months and sometimes years for tethering to be included after the raw files are supported.
My suggestion would be to use another tethering solution and direct those files to a LR watched folder. It won’t be as slick as tethering in LR but it will be faster than waiting until the end of the shoot to import the photos.
What would you use? is there another software that works just as well?
I would use Nikon's tethering software (Camera Control Pro).
Honestly, I might use it even if Lr did support the D4S. Why? because it supports things Lr won't, like full live-view.
It's pricey, but still peanuts compared to the cost of a D4S .
Thank you! do you know if Camera Control Pro 2 supports D4s?
Well, I got very tired of waiting for Adobe to support my Nikons so I use a Camranger, their computer and tablet app and tether wirelessly to LR. Yes, there is a bit of a delay amounting to a few seconds but in practice my customers love it and have not complained. I use the few seconds to better connect with them, answer questions, etc. Being wireless gives me more range of movement and I have one less cord. The Camranger goes in an old phone holster that clips to my shirt or pants pocket, connected by a 3 ft cord.
You need to enable auto import in LR and point it to the folder that Camranger saves the files to. Since it is an import you can use presets if you wish. I've not seen a downside yet and Camranger has support for new cameras very quick like. An added plus is having full wireless functionality for your camera via the Camranger apps. You can change any setting, focus, use live view, etc.. using a phone, tablet or laptop.