Moisture migration goes from warm to cold, so you are unlikely to trap moisture, causing problems.
With fiberglass, there should be plastic. If you can seal the inside and the walls don't get wet from rain, it works.
If the walls are thin, a vapor barrier is not needed. If it's a log cabin and you want 45mm, I would go for cellulose/wood fiber without a vapor barrier, just gypsum+paint or make it completely covered with a vapor barrier.
Fiberglass is cheap, but keep in mind that higher quality insulation also provides better insulation.
For soundproofing, the important thing is that it's sealed, then thickness, and then mass. The type of insulation matters less.