Some things are simply wrong. This is one of those things. If one’s worldview disagrees, then theirs is simply incorrect on this matter.
The GP said, "in a way that doesn't assume your worldview is the universal position ... everyone must adhere to". Your response still assumes that universality.
Similar concept but different issue: Do you think women should have equal rights as men? Do you think that should be universal? Or do you think it is OK for some jurisdictions to declare them the property of their husbands?
What I think is irrelevant. The question why the US hasn't yet ratified the Equal Rights Amendment that would guarantee that "women have equal rights" is also irrelevant (hint: women opposed that).
The relevant question is, whether a powerful state is right to impose its values (which it, undoubtedly, holds in high esteem) on other states.
I mean the argument is “homosexuality and being trans are real observable phenomena in the human species across history and cultures and bringing harm to groups of people based on factors they cannot change is morally wrong.”
Skipping that, Amazon is not taking part in any genocide - they agreed to "restrict LGBT search results" in accordance with the local laws (however backward these may seem to you — and me). In the US, Amazon is not selling Mein Kampf (in accordance with the local laws). In China, Amazon wouldn't sell Tiananmen square memorabilia (in accordance with the local laws). In Europe, Amazon wouldn't sell pornography (in accordance with the local laws).
Anti gay muslims in the UAE (and beyond) have the same exact attitude, so that reduces the whole problem to who has the bigger money\stick\media horn, and they happen to be the ones who have on their territory.
All empires collapse eventually but for now the West is still muddling on through.
