What you give up either way
What you give up with the Arctis Nova Pro Wireless
The Nova Pro's stock leatherette earpads are shallower than the HyperX pads. If you have outward-angled ears, the inner ANC microphone module can lightly brush your antihelix. Thicker aftermarket cooling-gel or replacement pads may add room, but fit and pad compatibility vary and they are not a guaranteed fix. Each battery is rated for up to 22 hours; ANC and Bluetooth can reduce runtime, so exchange the active pack when needed.
What you give up with the Cloud Alpha Wireless
You get 2.4GHz PC/PlayStation wireless and nothing else: no Bluetooth for phone calls or mobile Discord away from your desk, and no physical ChatMix dial. Balance game and voice through the platform mixer. HyperX rates it for up to 300 hours on one charge. That is a published maximum, and actual runtime can be shorter.
The Cloud Alpha cups have deep oval shapes and no internal ANC microphone module. That avoids this particular contact point, but fit varies, and HyperX does not publish inner-cup clearance measurements. The 322g weight is 16g below the Nova Pro's published 338g; weight alone does not establish fit.
For the broader open-back versus wireless choice, use the headphone and wireless-headset raiding guide.