No, I just gave you the examples of how it works for Ireland, UK, Sweden, Germany, Italy, France, Norway. If you are out of the tax net of these countries that's it , you dont pay tax there, even if you are a "backpacker" and travel around a lot.
Australia has a newly proposed rule though, where it seems they explicitly say that if you just travel around, even if you are out of the tax net, you still pay tax to Australia. But Im︀ not sure it has passed yet, and it is a quite unusual rule. European countries︁ have nothing like that.
For most countries what you are supposed to show/prove is that you dont︄ have ties to the country you left. For example for Sweden, here is how it︅ works in practice: you tell the authorities that you have moved out, and then they︆ check if you have ties to Sweden (business , family, house) and if they conclude︇ you dont , they send you a letter confirming that you are out of the︈ tax net. Then it doesnt matter if you have moved to a country Sweden has︉ a double taxation agreement with or not.
However, if they conclude you have ties to︊ Sweden and are not out of the tax net, then yes, the double taxation agreement︋ - if there is one with the country you moved to - matters. If there︌ is none (like for the UAE), you pay tax to Sweden as usual.
This is︍ basically how it works in most European countries.
