Bass distortion before tweeter distortion with a monitor at high volume?

I am looking at getting a set of monitors for a second system in a small room (12' x 10') , but I would also like the flexibility to play them in my main system in a room that is larger (13' x 25') with cathedral ceilings.

Let's assume that the small speaker I end up with won't be able to produce enough volume without distorting in the larger room.  Most of what I have read indicates that a subwoofer would solve the problem.  My understanding is that I would want to high-pass the bass on the speaker before it reaches the point of distortion, solving that issue.

If that is true, that leads me to believe that generally the tweeter would not be distorting unless the volume is at a higher level.  Is this normally the case?  If not, it seems there would be no point to using the sub. 

To restate the question:  With a high quality monitor, is it safe to say that the tweeter can play at higher volume without distorting compared to the woofer?  I am speaking in general terms here - I am sure there are exceptions.  Thanks.