Granted- an earth moving subject!
Now, I'm no expert metallurgist or anything- and this could get way out of my understanding pretty fast.......
All of this is beyond anybody to test, IMHO.
You can't test the core of a bullet without effecting how it behaves, so how was it or wasn't it before you "looked".
"Heat treatment" is not just a surface application, but can be. Compare steel to our alloy, and iron to the lead. Iron won't heat treat without the carbon, and other additives. Case hardening is a surface treatment because you are adding the carbon to the surface of the metal only (over time with heat and molecular contact). An alloy of high carbon steel (such as used in knife blades or saws) will have it throughout the blade.
Heat treatment is performed on boolits (for most people) for one hour then they quench.
If you would wait longer, say several more hours, then I think the center would be as hard as the outside, because all of the molecules would have time to distribute themselves equally and evenly size themselves. BUT, how long would that really take, and why would you need to do that, when what we are doing serves the purpose at the surface. (rhyme!)
In casting a boolit, you want the mold to be completely full before any of it solidifies, and I would hardly think that the core would be softer. If you watch your sprue cool, you will see it shrink and pull additional metal into the cavity, so it has to have the same composition as the rest of boolit. The longer it is liquid, the better the fill, given proper venting- but you don't want to wait all day for that to happen.
This is also part of that process that you are trying to figure out- anything hot will take up more space than something cold due to the expansion of molecules. If hot enough, it will convert to a gaseous state and expand further, unless you compress it. (Could we vaporize our elements, blend them, compress them, and then cool them back into "The Best Alloy Ever"?)
Metals just exist at these temperatures in our environment, and look like other things on other planets. Have faith, ye who art full of doubt! It's not rocket science, so don't make it any more difficult- just have fun!
Gee, I didn't know I was going to have to write a dissertation!
I'd better get a good grade.........