Well you have flanged hoops,a strip of steel is pulled through a die where it is folded into shape. It is then cut to length, rounded, and welded at the ends. A stamping machine completes the process by punching out the tension rod holes before plating.
Diecast hoops are cast from molten metal (zinc, steel, aluminum, and brass alloys) making them heavier than their rolled counterparts.The heavier the hoop, the less resonant the drum will be. Or more focused, depending on your perspective.
Cast hoops are also much more rigid,so it makes tuning somewhat easier.
So a diecast hoop on a snare will give less snare rattle.
Now since diecast hoops are more expensive to make you will find these more on the higher end drums,but this is not a general rule.
For me I like diecast better because of the ease of tuning (and staying in tune),less resonance (without making the drums sound dead and dull) and a more focused sound.
I really like drums,there's a lot to toy with,just look at how many different drum heads there are.Even the tickness of a drumstick alters the sound.So many possibilitys