Citizenship and postal address are irrelevant. If you break the law in another country and there is an extradition treaty then you will face the consequences.
Clearly I was gay while doing stuff online on a Saudi Arabian server.
Extradition is covered by a patchwork of treaties and laws most of which involve some kind of human judgement as well.
One core concept of extradition is the crime has to be, at least in broad strokes, illegal in both jurisdictions.
The crime in question also has to have some reasonable argument of jurisdiction for the requesting state. You might have been gay while buying things from an SA company, but you weren't doing anything in an interaction with SA that had anything to do with being gay. (The first dual criminality concept protects you way before having to think about this). It is also often the case that countries are reluctant or outright refuse to extradite their own citizens and choose to try them in court locally.
Assange wouldn't be protected by either of these. Conspiring to take classified military secrets with a member of the military in question would be illegal everywhere. As would participating in the taking and the following distribution.
The legal questions for Assange are "did he do those things, guiding, requesting, and helping Manning acquire and send the classified information?" "Do the first amendment protections of free speech and free press cover WikiLeaks model?" and "Would Assange receive a fair trial and just punishment if extradited?"
But in general, questions of jurisdiction are complicated. They're settled by courts, not by what people say on the internet.
Assange isn’t being accused of things that are criminal in the UK.
> The Justice Minister has, however, told the Dáil that he won’t extradite anyone who may be put to death for their crime.
More generally, you're at risk of extradition if the alleged crime is also a crime in the country you reside in [2].
The key with extradition is that it has more to do with diplomacy, geopolitics, and sovereignty than anything else.
Probably not, because that's not within the scope of what Ireland would be willing to extradite for.
But that's a question of Saudi Arabia’s practical ability to bring you to trial, not one of whether or not any law they have would apply to you on principle.