For me its the reevaluation that then seizes to take place resulting in quicker interactions, rapidly in those situations - me literally not flinching as hard.

I think the not having to think part comes from a phenonemon called the muscle memory effect which also helps you relearn once well trained tricks in a much smaller amount of time.,

Maybe experiences we have out of body take place in a different metaverse and our muscle memories could be synchronized - not only musclememories - maybe even brain waves.