Not sure if this is a problem with my hardware, but my Linux (Gateway) laptop can only look around while moving in one specific circumstance: when I keep holding the touchpad and sprint. I use arch btw
Solution: Lower Palm Check™ sensitivity or disable “Disable touchpad while typing”, which serves to prevent accidental touching of the touchpad while typing, hence “Palm”
I suspect that there is “palm check” turned on for your touchpad. This is designed to keep you from accidentally moving/clicking the touchpad by brushing it with your palm while you are typing.
Look for a “palm check”, “palm rejection”, or “disable touchpad when typing” setting in your touchpad utility. As far as I know, these are all roughly the same thing.