I have found that whether to weight a mat or not is very dependant on the art. If the weighting shows a lot, it is not as correct to my eye as if it doesn't. The more weighting used on a mat, the more it will show.
A horizontal piece, especially a small horizontal does not look as good weighted. A vertical piece on the other hand usually does look good weighted. If the art is bold, the mat needs to be larger to contain it and it needs more weighting. If the art is long and thin, it does look good with the sides' one dimension, the top a little bigger and the bottom even bigger still. A square composition can be weighted or not. Each will look good.
The type of situation you describe most definitely looks better weighted than not. If you put more space at the bottom of the print margin, the mat has to work with it, all the way around, less at the top and sides as described, but definitely more at the bottom.
Also if the arts subject is extremely heavy toward the bottom of the composition, bottom weighting on the mat looks better.
I've heard people say it's because during Victorian times pictures tipped out from the wall and that's why some pieces are weighted. It's actually a visual phenomenon. A shape is just more comfortable to the eye if the bottom is weighted. It has somewhat to do with the way our eyes work together.
Also when a frame is made it is with a 1/8th allowance which means the mat sets in the frame lower on the bottom. If the mat is at all small it can look short on the bottom.
There are no rules when it comes to design because it is creative and visual. You have to see and interpret what you see correctly. Also someone here said, sometimes it's a matter of doing it and seeing how it looks. Having said that though, most of the time, weighting looks better than something not weighted.
Nona Powers, CPF®, GCF
www.nonapowers.com
I wrote a book called Color and Design for The Picture Framer. I have a section with illustrations showing different mats weighted and not weighted so you can compare how they look. It also covers how wide the mat is in each case. It’s available from just about anyone who carries framing books or from Columba publishing or direct from me