Thanks for doing this! Can a person on H1b work remotely in the US for their own company outside the US? They'd pay taxes on any international income. Also what if they didn't work but own the company and receive income?
I think the question is - someone outside the US has a business, moves to the US on an H1B, and wants to continue working for their outside-the-US business.
US immigration law hasn't caught up with remote employment but the short answer is no and this makes sense since this would allow anyone in the U.S. to circumvent U.S. immigration law simply by setting up an entity outside the U.S. and then getting paid by this entity.
My (non-proberts) understanding is that H-1B is for US employers to bring in specific individuals because their skills are hard to find in the US. If I've understood you correctly, your scenario isn't relevant to that.