
Sennheiser
HD 560S
Budget gaming king with clear sound, but tight fit.

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Yes, at that budget, I would suggest that headset or the Razer Blackshark V3 X. I did a deep dive recently myself, and wound up picking up the HyperX Cloud III S, but in your price point, the SteelSeries or Razer would offer more value than most of the HyperX line-up.
I tried this headset as my first real wireless gaming headset. Functions fine but honestly cannot wear it for long gaming sessions because it does start to hurt my head. I've gone back to using my A40s primarily.
I think the older models fit a lot better than the newer ones. The ear pads/cups on the older models are larger. I got an old Arctis 1 and my partner has am Arctis Nova 5x and the pads on the 5x are so damn small... I recently got a Hyper X Cloud 3 and that one fits amazing. Really large and spacious earcups.
I guess depends on the game. I got pulse 3d, cloud 3, turtle beach 2 gen, Arctis nova 5. Sound wise Arctis nova 5 is better than these. Comfort + sound cloud 3 wireless.
I just got one and love it!
I have an Arctis Nova 5X and works perfectly on Linux. I paid around 200EUR.

Sennheiser
HD 560S
Budget gaming king with clear sound, but tight fit.

Sony
WH-1000XM4
ANC king, durable, but unreliable mic and touch controls.

Sennheiser
HD 6XX
Legendary mids, durable, but narrow soundstage and weak bass.

Sennheiser
HD 490 PRO
Super comfortable, wide soundstage for gaming, versatile pads.

Sennheiser
HD 599
Super comfortable, easy to drive, wide soundstage, open-back.

Ranked #1
Sennheiser - HD 6XX

Ranked #1
FiiO - FT1 Closed-back Headphones

Ranked #1
Sennheiser - HD 560S

Ranked #1
Sony - MDR-7506

Ranked #1
Sony - WH-1000XM4

Ranked #1
Sennheiser - HD 560S