"Increased case capacity, decreased velocity? "
If the charge remains the same, yes. Simple gas law of physics; "an increased volume decreases the pressue IF the gas supply stays the same". (OK, physics majors, that's only a slight restatement of Boyle's Law to fit the situation, don't hit me for it because it's true as stated!)
But, it really isn't because of neck sizing nor previous firing, etc. I mean, any case will almost immediately expand and conform to the limits of the chamber when fired with a full charge. Doesn't matter how small it started, the chamber is the only limit to how big the outside of a case gets.
That leaves the thickness of the case walls as the controlling factor in internal volume. Case wall thickness varys on an individual instance, harder brass is usually thinner and vice versa. And the difference is slight.
No matter what some folks say, a load that is truly on the safe side with hard/thin brass won't blow up any modern action if it's put into a soft/thick case. There just isn't that much difference in the internal volumes! But, there can easily be enough difference to blow up your groups if you change cases indescriminetly.