6 months since the last comment about this and 18 months or so since the original issue. I've just got Squadrons and playing VR - exactly the same mouse issue. I know the cause in this case though: I changed the VR resolution scaling to 150%. The mouse then became locked into the top left corner as described in the first post here and by others, so the ship just hurtles off the left, and mouse can't be moved even to the centre point. So, clearly - the mouse is somehow not being scaled when the underlying resolution is. I changed the resolution back and the problem went away.
Such an easy fix, but I get the sense (given how often the game won't even launch, and not at all directly in VR - only via the toggle option in-game) that no-one's working on this? EA, any chance of fixing this so I can use all the VR settings?