I don't know that much I'm afraid when it comes to internal workings of amplifiers, other than what you've already said about op amps.
Rroff would be a good person to ask if the OP wants to know more about that.
Anyway; the PC350 SE, is a very good headset. I thought you might have been talking about the original PC 350 in the OP, but as you don't have that already, must be the SE; which is an improvement on the first 350.
The biggest advantage over the HyperX, is the better quality microphone. That's the only real area where the HyperX headsets could be better really. Sennheiser's microphones are very good indeed.
When it come cost, the HyperX are headsets very good value, but in the case of the Cloud II, there's no point going for that, as the Core3D chip will provide SBX, so the Cloud I is the better choice.
350SE I'm sure was £90 last time I looked a few weeks ago, and for that, I'd say they would be worth buying over the cheaper HyperX Cloud. At £110, while still pretty good, they are twice the cost of the HyperX Cloud.
If you want a quality microphone and can afford the PC350SE, then they will be a decent choice. If you're not fussed whether about the microphone quality too much, maybe it's better to save £50 odd and grab the HyperX Cloud.