I have this mouse (Logitech Performance MX) on my Mac Pro and also on my PC. In both cases the first thing to do, is to get the latest Logitech Control Center. In Safari on OS X Yosemite and El Capitan I see a tiny lag compared to my PC and on Mavericks. On general use it is a tiny faster on my PC (with the same settings on PC/Mac). Maybe 10-20miliseconds difference.
Both desks have same surfaces and mousepads. Both mouses same batteries and charge.
My conclusion is that either the drivers (from Logitech or native bundled in the Operating Systems) have problems on OS X, or that Apple needs to optimize OS X for third party mouses.
Using Logitech Illuminated Keyboard (with cord) on both machines, there is also lag on this form I've just replied here on Yosemite and Safari. From Windows 10 or 8.1 on both Mac and PC, would be faster with no lag at all.
In this case, either WYSIWYG script on MacRumors has a bug or Safari conflicts with such scripts.
A lot of variables on different interfaces bring a lot of conflicts and problems since the dawn of computing
They are machines with mistakes since people who made them aren't gods...