Got this now 3 games in a row even after restarting my game. Cannot move right with the LS. Controllers fine, works in MCC.
I have this same issue. Both last night and this morning. Can’t get it to fix itself. I have reset the Xbox, fully shut down the Xbox, and now I’m considering a reinstall of the preview build.
Edit: My controls had been switched to “custom” which I didn’t do myself. Resetting them to default and then to Recon (my scheme of choice) worked. Thanks to SG RiverDan
Check if you control inputs changed. Happen to me also. Had to set controls back to default.
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> Got this now 3 games in a row even after restarting my game. Cannot move right with the LS. Controllers fine, works in MCC.
Woah there, that’s a bug and a half!
Please keep in mind that whilst the forum is great for feedback, it’s best that you check the Known Issues list for the Technical Preview Flight.
If your issue is not listed here, Known Issues - Halo Infinite Technical Preview Flight – Halo Insider Support (halowaypoint.com) please log a ticket so the team can investigate. You can find the link to submit a ticket at the bottom of the known issues list 
Enoy!
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> Check if you control inputs changed. Happen to me also. Had to set controls back to default.
Didn’t think to check, couldn’t imagine how something that precise could break. My button layout was set to custom. Tried resetting all to default and the game crashed. When I switched just the button layout back, I could strafe right.