I generally prefer wired because I get really tired of dealing with batteries on wireless peripherals, wireless interference, and sometimes latency.

I don't want to leave my controllers on the charger every time I'm not playing since that'll drain their battery faster, but that also means my batteries will be at some unknown battery level when I'm starting a game up so it'll last an unknown amount of time of use before dying, assuming it still had any power at all. Usually these days these types of devices have a way to warn you when they're low on charge, but I generally play on PC and I don't know for certain if the wireless controller I'd use could alert me. Then there's the question of if I notice the alert in the middle of a game, or if I remember to charge it when I'm next able to, or if that alert interfered with something I needed to see/hear at a critical point in a game. Then if the battery dies in a game that could be funny, will probably be frustrating, but also could ruin something I was working a long time towards doing. If the battery is completely dead as in like I haven't touched it in months, then it may also take up to a few minutes before it'll have enough charge that I can actually use it since many wireless controllers cannot communicate using the charging cable. And of course the longer I use it the more that battery is going to wear out and eventually need to be replaced entirely. Obviously other mechanical parts also will wear and need to be replaced like the joysticks and of all of them the battery should be the most accessible to replace, but it's still an additional failure point that can cause more catastrophic failure than many others.

Next is the less likely one these days since I feel that wireless integrity has gotten much better in the last few decades, but I distinctly remember constant frustrations during my first real forray into having a wireless mouse with it operating on a very similar wavelength to my Wi-Fi card and somewhat often just simply not working. It would be operating fine for 50 minutes then be completely unresponsive for 10-60 seconds. I also remember specifically that this mouse had some awful drivers that would crash or forget its configurations about once every 1-3 days, so coupled with that and the battery problem it was difficult to pin point the cause of any particular failure with that mouse. I'd eventually see if the drivers failed via an alert from Windows, the mouse would continue to fail if the batteries were low, and it would do things I don't want if the drivers forgot their config, but for every failure that didn't do any of those things it was difficult to know for certain what caused that and how to fix it.

Lastly was the latency which is probably 99% of the time not an issue, but adding in the translation layera between actions to wireless comm to driver to action input can be a frustration. The majority of the times I've noticed this are with a mouse that's waking up from sleep mode, so not super relevant but I do know for particularly high octane games it could have an impact.

The alternative to all of these issues is dealing with a cable. I'd rather deal with the cable, the vast majority of the time.