Kid and law's awakenings still seemingly follow the same rules as katakuri and doflamingo by being able to use your devil fruit ability out side your own body. Main difference being their devil fruits aren't actually physical substances like mochi or string
Kid with the magnet fruit can likely magnetize anyone (and anything hopefully) he wants either making whatever it is attract or repeal metal and the other things under his awakening
Law with the operation fruit and being a modification man (like luffy is a rubber man) can probably turn people themselves into their own mini rooms without having to actually cast one out. It can probably apply to inorganic stuff to but idk how that'd work. Law has one of if not the most abstract devil fruit abilities so its hard to really guess without seeing 🗿
Because not all awakening are the same.
Kata and Doffy are able to produce things from their body (mochi and strings)
Law and Kidd do not produce from their body. So their fruit awakening will be different from Kata and Doffy's
It's because not every Paramecia DF actually is about crafting your element. You have Law and Kid only affecting their powers on these objects. On Law's case, he creates his own surgery room and that's his playing field. Therefore, Law's awakening would rather boost his abilities even further, ie. making them more potent.