What's wrong with a parallel port, or these days a USB cable? Office lasers are more commonly used as network appliances, but for a home computer I'd have thought having it tethered to the local PC might still be applicable. Makes it slightly more complicated if you want to print from your laptop or phone I guess, so maybe there's a case for running a printer as a network appliance at home these days too.
Nothing as such. It depends on your use case.
In my case, there are 5 personal computers that need to be able to print, a WiFi network, and a cabled network as available resources. It got a bit boring disturbing the person sitting next to the printer to plug and unplug the USB cable, so I put the printer on the network. It turned out that printing from Windows PCs over WiFi worked badly - possibly due to weak WiFi signal and also the double-hop from PC to WiFi hub and from WiFi hub to printer; and scanning (it was a multifunction inkjet) was worse.
So end result is a wired Brother network monochrome laser printer, and I kept the multifunction inkjet as a scanner (thankfully, it is not a Canon model, so it scans even when it has no ink). The cabled laser printer just works. Every so often the Windows printing glitches, but from my Linux PCs I have had no problem.
I am not saying this is the best solution for you. Inkjets need to be used so they don't dry out, and my usage was not enough, so I got problems. My Epson WF-2650 had poor paper handling, often not picking up a new sheet and then complaining - I guess a problem with the rubber compound on the rollers and maybe poor geometry, but the combination of clogging (most likely to lack of sufficient use) and paper handling problems means that I chose to try a laser printer instead, and for me it has worked well. I could not quite justify a colour laserprinter, but if I ever win the lottery jackpot, which is unlikely as I don't participate, I would buy a colour laserprinter, as it would make some of my data presentations prettier.