Just to make it abundantly clear for anyone reading this post down the road. There are two "types" of pigs.
Lard pigs were breed to get fat and produce a lot of lard. They tend to be shorter bodied, less inclined to
root as much, and the ones I've read about tend to be more docile... maybe because that uses fewer calories?
Bacon pigs were breed to produce more bacon. They are longer bodied, making room for more bacon. They generally have less fat on them, than a lard pig, but any animal can get fat. These tend to be much more active, much more inclined to root around and seem to have a wider range of personalities than the lard pigs (again that is just in reading, I do not have that extensive
experience with pigs).
There is an interesting article on the Livestock Conservancy website about this.
https://livestockconservancy.org/heritage-swine/historypigs/
From the research, a Heritage pig will get more fat than a modern production breed. And a heritage lard pig will get more fat than a heritage bacon pig.
Lard Example: American Guinea Hog
Bacon Example: Tamworth
Specific to the OP's post... my friend google says Berkshires are classified as lard pigs. I would think the wild boar mix might offset that, as I would imagine wild boars will breed for speed and strength, not necessarily for fat content.