Yes, it makes a huge difference!
Depending on your country of residence, non-resident banking options are limited or even non-existent. Has been discussed at length in this forum.
Rethink your overall approach: "Offshore" banking is a dinosaur.
If banking is of such importance︀ to you, look first for a country of residence which offers acceptable onshore options.
Since you mentioned Malaysia, better read what's going on there with regards to expats. This forum︁ provides plenty of info about it.