"Tyre" is extremely common throughout most of the English speaking world. "Gaol" is used by attention-seeking Australians desperately hoping to kick off dumb threads like this.
Tyre is clearly the correct spelling. I quickly tire of anyone claiming otherwise. Gaol is an archaic spelling which I've found incredibly confusing ever since I was a small kid a long long time ago.
Prisons are where convicts go. Jails are where suspects awaiting trial go. People in prisons have been convicted and sentenced. People in jails might be proven guilty or not.
The simple rule you provide doesn't describe any real system; it seems to be an approximation drawn from how felony charges under state law in the US usually work, but more generally, in the US, Jails are local (usually county) facilities that both house suspects awaiting trial on state charges and convicts serving state misdemeanor sentences, while prisons are either state facilities that hold felony convicts or federal facilities that can house anyone from pre-trial detainees on federal charges to convicts on any kind of federal charges.
There are some variations among states, too; e.g., in California, some state felony convicts serve their sentence in county jails rather than state prisons.
I know, I lived in Australia for 5 years. That doesn't change the fact of my post - that in a thread about jailbreaking kindles, it's nothing but attention-seeking bait to use the term.
I have no problem with Australians, I think they're mostly great. Occasionally you'll get an obnoxious one who insists on inserting "gaol" into a conversation just to kick off an insanely stupid side thread.
I have to say, as an Australian, your reaction is making me want to use the spelling more often. We're generally culturally averse to people taking themselves too seriously!
Tbf as a Kiwi (currently in the UK) I see a lot of Australians, when interacting with other cultures, kick up their Australian-ness as much as they can; strengthening the accent, swearing way, _way_ more than they usually would, using "mate" "bloody" etc way more than they do just speaking to me.
I mean when two Australasians speak with each other in a foreign place I definitely hear the accent rise up a bit more outta the both of us but Aussies are something else when it comes to putting on a show, especially when Americans are involved (in my experience).