James, could / would you mind clarifying definitions for us?
"Stress handling" vs "strength"?
Sure, but explaining is easier by example. Stressors come in many varieties, from load to chemical to thermal and so on. Let's say you have two standard and properly built 125 (48 x 24 x 24") tanks, built exactly the same way; one built from 1/2" cell cast and one from 1/2" extruded. Both flame polished edges which is standard in the industry. With me so far? The tanks will bow the same amount, so the load makes no difference. The cutting, routing, gluing, and polishing all induce a certain amount of stress on the materials; these are constants, and both materials can handle everything very well to this point.
Now, let's say you accidentally clean both tanks with Windex or similar cleaning solvent. The cast tank might craze a little, but the extruded tank can become overstressed by the simple addition of the solvent and craze to the point that the material fails on a molecular level.
In the above example, the chemical stressor, ammonia/citric acid/alcohol/whatever is what turned the material past it's threshold for handling stress. The materials are no different in terms of physical strength; moduli of elasticity and all other physical properties are similar, it's simply the addition of the solvent as a chemical stressor that breaks apart the molecular chains causing the material to fail.
And the same thing can happen whether the tank is filled or not, so "strength" or any definition of similar is absolutely irrelevant. It comes down to the length of molecular chains that determines the material's stability.
For culture, try it at home. Get two pieces of tube; one cast and one extruded, flame polish the edges (using butane torch or similar) and spray alcohol on them. The extruded will craze to failure, the cast will not. Neither is under any load, so "strength" is a non-issue. It is simply the combination of stressors; rapid heating/cooling and then alcohol which broke apart the chains. Which would you rather use to build your new reactor?
While not a textbook definition, hope this demonstrates how stress resistance is different than any standard physical property that can be generally defined as "strength." This is the primary reason cell cast is used rather than extruded in aquaria. There are other reasons to be sure, extruded can't be made thicker than 1" as an example.
I'm guessing the polycarb built tank would be more bullet resistant than a normal acrylic tank
Depends, given similar thicknesses - yes, but I've built quite a few tanks that were made with bullet resistant acrylic as well

I could go on with this stuff forever, love bullet testing materials
James