Funny you should ask, since I am one. Your internet connection isn't relevant to anything other than uploading images and forwarding sheets to clients/employer. No graphical design software is unusable without internet that I know of, and custom design engines (such a 3d software for lighting/modeling/texture baking) can be given home copies and probably already require a security key to use, which many professionals keep on a USB drive that is on their person. The tablets are almost always provided by the company (if it's a large one like Blizzard, Riot, etc. who have deals with Wacom), but I don't think a single graphical professional on the planet doesn't have their own tablet at home. If there's any issues with working from home, the art team sees the least of them. i'd be more curious about the systems designers and network engineers working from home.