After six months of using a Logitech g pro x superlight, i haven't seen any degradation in my performance in video games and even have improved a few of my records on FPS Aim trainer (Ranked top 50 in a few popular scenarios). There are people who reached the #1 world rank using that mouse too. I have played at high level for many years with a Microsoft Intellimouse 1.1 which had more than 10 ms of input latency despite being wired. I have noticed that the amount of frames per second has a much higher influence (If you shoot on a target then move the mouse before the next frame, then you may actually miss the target because the game may handles the mouse moves before the shoot event).
Was also about to reply with the Superlight recommendation. Cannot stand the lag of bluetooth mice and was working my way through various mice over the years, usually trying at least 5-10 alts per year. Have not bought another mouse since the Superlight. Other Logitech mice (gaming and otherwise) eventually failed in one way or another. Not only is the Superlight a superior experience — it performs just as well today as it did 1.5 years ago when I got it. Wish the dongle and charging port were USB-C and that the Logitech SW wasn't the hot garbage that it is (I eventually settled on using a spare machine to update its config bc I won't have that SW on my daily) but from the perspective of the actual mouse itself, it's amazing.