@JLNobody,
Yes. They need the distinctions each camp favors for either approach to have much meaning.
Another consideration about the mind is that physically, we can only move in three dimensions. We also move in time, but we know that because our minds can move in more dimensions. We can perceive ourselves where we are standing, and then picture ourselves moving to another place. We can hold the concept of existing at different places in different times because we have a five dimensional perspective.
If we could only move freely through two dimensions, that would mean we had a three dimensional perspective. The third dimension would be like time is to us now, an axis on which we cannot move freely. So if thought was restricted from moving freely in the fourth dimension, we would have no perception of time passing at all. We wouldn't be able to remember the past or envision the future.
We can also imagine alternative outcomes of some actions. More dimensions thought can travel in while our physical forms cannot.