There is no reason why this set-up wouldn't work, but come to think about it, 4G is relatively a new technology and many countries only started building 4G infrastructure recently, in fact wireless internet in general is very expensive to use, it is not expensive to set-up from the user stand-point, but it's too expensive to operate.

Where I live, using a 4G connection to run all my gears and despite the little bandwidth they use, I will probably have to pay a lot more for the ISP company than I can afford , 4G here is still a premium service, people use it only when they have no other option at all, I know this may sound strange for people who live in well developed countries , but to the rest of the world , 4G is never an option.