Thus there are various interpretations of Islam's allowance and tolerance of depiction of the things, the quick, the people, the prophecy and its particular prophet Mohammed. Sunnis, which are Turks and majority of Arabs as far as I know, loathe and are averse to depictions to some extent. More religious older people in Turkey refrain from being depicted anyhow, while some are fine with memorial pictures of themselves and relatives. Majority of the community is though, do not oppose any sort of picturing apart from Mohammed's, and they are taking and publishing pictures of themselves and other people and objects, animate or not, as everybody does. I have heard that Shiites are also lax regarding prophetical depictions, but I have not encountered personally the shiite culture, so, I do not really know.
So, it all boils down to the fact that when someone, Muslim or not, publishes visual material regarding Mohammed, and the God in an islamic context, they should be ready to face different reactions from different parts of the Islamic community. And, as we are living in the internet age, where information goes from Alaska to Iraq in the speed of light (figuratively), its no surprise that living in a non-muslim community does not matter at all in this context.
One would be offended when somebody tries to hurt or offend someone who he considers to be more worthy to him than himself, right? Well, the verse Ahzab 6 [1] says that Mohammed is more worthy to a Muslim than himself.
[1] I have tried to phonetically reproduce names of soorahs and religious terms, I do not guarantee they are correct.
[2] Now, I am not that familiar with hadiths and how these are really cited, but here are some citations nevertheless: Müslim 2107/96; Müslim 2107/90, 94; Buhari 5957, 5958; Müslim 2107/87, and others.
But I think it is highly relevant to distinguish "speech that offends" and "speech that incites hatred"
It might be useful to censor the latter and not the former. The purpose of a "hate speech" law might be to avoid/reduce the social breakdown of having a part of society discriminate against the other. In that sense, saying (for example) that "all arabs are terrorrists" is much worse than drawing mohhamad. The drawing offends muslins, but does not try to persuade me to treat them differently/believe they are different
(tl;dr you say they say 'it's relative'. I say it might not be relative, regardless of what people say.)
If that were true it would still be entirely lawful (in USA) wouldn't it?
I'd certainly argue it's more about criticism of Islam than intention to offend. If you want to silence criticism that uses visualisation then proclaiming the central figures in your ideology to be unlawful to represent in imagery is a perfect way forward.
I don't agree with this kind of coddling censorship because people don't have the right to not be offended, but it's undeniable that people who publish images of Mohammed are doing so with the full knowledge that it will (stupidly, immaturely) deeply offend Muslims, and that many will use this to intentionally target Muslims.
Denying the Holocaust is a hell of a lot different than saying, "Hey! Look! Here's a picture of a person!"