Now here is a very nice paper.
http://www.seafwa.org/resource/dynamic/private/PDF/Hill-47-56.pdf
They do use width and not height for gape.

It indicates that for LMB, gape width = 0.14*Length - 5.59
where dimensions are in mm.
For a 17" fish (largest in their survey), that predicts GW=2.16" which is a .127 ratio.
That is more inline with our SMB data above. They cite the LMB as being from SE FL. Are FL bass different?

Given the results of this study, a peacock cichlid can eat deep-bodied prey of about 30% of its own total length and largemouth bass can eat slightly longer prey (i.e., about 35% of its own length).

For example, a 400-mm TL largemouth bass can eat a 132-mm TL spotted tilapia whereas a 400-mm TL peacock cichlid can eat a
116-mm TL spotted tilapia.


This also seems useful:
BD=body depth (how tall)
TL=total length
both in mm

Bluegill BD=0.46*TL�8.88
Largemouth bass BD=0.25*TL�3.38
Redear sunfish BD=0.40*TL�6.23

Spotted tilapia BD=0.39*TL�0.84