Xbox Series X controllers have input issue but Xbox One X controller works perfectly

On Xbox Series X when some games like Doom Eternal, Crash Bandicoot 4, Psychonauts 2, Tales of Arise and Visage are launched (only Xbox Series X enhanced games and not all of them) any Xbox Series X controller incur in an input issue, with battery and with USB cable without battery: if any key or trigger is pressed rapidly it doesn't work, a sort of input lag. The issue persist in any dashboard menu, then if I turn off and turn on the controller again the problem disappear until I return to the game in background that caused the issue. Any Xbox One X controller works perfectly instead. Both Xbox Series X and Xbox Series X controller are update with the latest update. I noticed that when the issue start the usual buzzing noise of the controller change sound, a lower sound. If I plug any headphone with or without microphone in the Xbox Series X controller the commands are more responsive but the problem remains. I reported more and more times this problem to Microsoft since 3 months but still there isn't an update that resolve this issue with my great disappointment. I think this issue started since about 4 months after a system update, and I think the problem is the same of yours. Can you confirm this?

I have an issue similar to yours and identical to other users: even after OS update 10.0.22000.2656,
on Xbox Series X when some games like Doom Eternal, Crash Bandicoot 4, Psychonauts 2, Tales of Arise and Visage are launched (only Xbox Series X enhanced games and not all of them) any Xbox Series X controller incur in an input issue, with battery and with USB cable without battery: if any key or trigger is pressed rapidly it doesn't work, a sort of input lag. The issue persist in any dashboard menu or in any other game that don't give this issue, then if I turn off and turn on the controller again the problem disappear until I return to the game in background that caused the issue. Any Xbox One X controller works perfectly instead. Both Xbox Series X and Xbox Series X controller are update with the latest update. I noticed that when the issue start the usual buzzing noise of the controller change sound, a lower sound. This issue started since about 4 months after a system update. I have reported many times this issue and it has been reported by other users too.
Analog sticks and triggers calibration from the system menu is missing, an essential feature in my opinion, I'm reporting this since 3 years.

sorry for not replying. my other xbox one and series s/x controllers work perfectly fine.

I am are using play and charge kit on the xbox series x wireless controller it is are not official one but it is are working on the controller perfectly fine but the indicator does show medium battery level at all times and sometimes it does show fool battery level rather than that it is are working properly in the right way on the series x controller without any issues.

I discovered one thing. If I plug any headphones in my Xbox Series X controller (with microphone or without it) it works much better in any of the games that gives the issue. What could be mean?