I would be very confident that such a setup will remain tax free. But I could imagine that an audit or annual report will be required in the future. That's just my guess though, I have no secret information and hope to be proven wrong.
Some countries take a different approach︂ to that (hybrid mismatch). That can be good or bad.
What I find a bit︃ troubling is that the UAE rules explicitly state that you may be subject to corporate︄ (!) tax as "c) A natural person who conducts a Business or Business Activity in︅ the State".
So even if they do consider the US LLC as transparent (personal income),︆ it could still be subject to corporate tax.
What's worse, even if you're exempt or︇ you stay below the thresholds (they just announced very high exemptions for small businesses, like︈ $800k in revenu per year) - you may still have to register.
So how do︉ you know if you should register or not? How would you even register your US︊ LLC? Would you have to register a branch in a freezone? Is it enough to︋ just tell them "Hey, I work from home for my tax-transparent US LLC"?
I guess︌ nobody knows until it might be too late - and then they could change the︍ rules again a day later, meaning you still wouldn't know how they are interpreted in︎ practice.
I trust that they won't start taxing the Russian billionaire living in Dubai off️ the dividends from his factory in Russia.
I'm also quite confident that they won't start coming after free zone companies doing only business with clients abroad - otherwise they might as well just close all the free zones.
But foreign companies like US LLCs, managed by UAE residents? I feel there's a lot of uncertainty here. I guess it will also depend on how much time you spend in the UAE, if you have UAE clients (and if so, what about free zone vs. mainland?) etc.
Most likely nothing will happen for at least the next couple years in any case though, they will be︀ busy enough implementing it for large companies, stores, restaurants etc.