Most of newer wireless sets from Logitech and Microsoft both have pretty good latency on the wireless path - responsive enough that you would have to measure your reaction time quite a few times to get anything empirical. Many of the older wireless sets (especially those targeted for home/office use) would have obvious latency problems and moving the mouse cursor was like dragging a marble around with an elastic band. Bluetooth models still have a bit of this problem, but the dedicated USB receivers are generally excellent.
The bigger differences now are between gaming and non-gaming mice. Even with many newer sets, a non-gaming oriented wireless mouse may go to sleep if left in one spot for more than a few seconds and require a large motion or button press to wake up again. This is a battery conserving measure, and easy to identify on the LED optic-based models by a flickering light underneath when lifted, turned upside down, or left alone (not so easy to tell on the laser ones, being invisible and all, but they do this too).
A gaming-targeted mouse may have higher sampling rates both internally and over the USB interface. Higher internal sampling will help pick up on mouse movements faster, interpret the motion more accurately, and reduce unintentional output (cursor drifting/jumping both in normal use and when lifting the mouse to reposition). Higher USB sampling rates gets those input actions to the computer in less time and can help smooth out the motion of the cursor to be more true to the motion that you're putting in by getting positional data there more frequently (angular vs smooth arcs in mspaint and so on). A wireless gaming mouse can easily have better characteristics than a wired mouse intended for an Excel jockey, but a wired gaming mouse is all-around ideal from a latency and reliability viewpoint.
I'll put in a big vote for the MX500/MX510/G400 series from a ton of personal experience, but comfort and familiarity accounts for a lot in any case. Just know that there are real advantages to using purpose-driven equipment here, and as with most technology, newer is generally better.