I have a corded mouse but my laptop also has a touchpad and I can't stand to use it. Maybe it's because I started with a mouse 30 years ago and can't break myself of that habit. I don't even care for a wireless mouse.
Always had corded mouse for gaming as it's a better option, so a gaming mouse. For my Laptop, it's a wireless mouse that the battery last for weeks on end without charging. It's a goof Logitech mouse. Regardsanything else, I never did like the touchpad. It seems that gaming wireless mouse has and is improving over the years, yet rather use corded.
I only use wired, I don't like wireless for the sole reason of batteries. Nothing like being in the middle of a game like league of legends and during a ranked team fight your mouse just dies. Like eeenope. I've used wireless a few times but nothing beats the good ol' wired mouse.
I use a wireless mouse with my laptop. I don't like using the built in touch pad. Using a touch pad can be annoying. What I do (so I can use it on my bed) is get like a DVD case and sit the mouse on it to use as a solid surface for my mouse since ordinary mouse pads need a hard surface and I use it on my bed. It's a cheap logitech that requires only 1 AA battery but each single battery lasts a really long time. The battery life and the fact that it only requires 1 battery makes it good to use.
I don't game with my mouse, so I use wireless but I would never use a touch pad if I can help it. I would never use a wireless keyboard and always wired.
I prefer wired mainly because the wireless requires a battery. Sometimes the battery runs dry and I don't have a replacement on me, making me unable to use my computer
After using the mouse for so long years, and getting adapted to touchpad was difficult in the beginning and somehow managed and using touchpad right now.,
I still prefer the wired or even wireless mouse than the touchpad. Touchpad is convenient to work on the go. At home and even in my office, I use either wired or wireless mouse. I find this easier to use, which I am sure the younger generation will never agree.
I'll always go with wired as it just has better performance, less time to register movement. I play competitive games and every second matters there. I also don't seem to get bothered by the cables on the desk.
I use a laptop, therefore, I like using touchpad. However, sometimes I also use a mouse, I have used wired as well as wireless mouse. My current mouse is a wireless vertical mouse.