Liberty's "Civil Defense" loads, already very light in weight, tend to fragment early during penetration and penetration suffers- usually the base (which weighs makes up about 50% of the bullet's weight) makes it no more than 8-10 inches, if that.
This image (found here- http://libertyammunition.com/liberty-ammo-media/images/
) is of the .45 ACP 78gr JHP that you have fired into bare gelatin-
and confirms the behavior of the design.
This test also shows more of the same sort of behavior-
It's is interesting stuff, but not something that I'd ever recommend for serious SD use. It's your bacon on the line, so the decision is ultimately yours. Good luck.