The case against wired headphones is written on the box of every new phone: no jack. The case for them is written in the lives of everyone who owns a pair: they work. No pairing screen, no battery anxiety, no adapter at the bottom of a bag. Plug in and go — that is the entire guide.
Sound quality at the price is another quiet advantage. The same budget buys better sound through a wire than through a wireless connection, because the wire spends the money on the speakers instead of the radio. For listening on a laptop or a stereo, the wire is still the honest way to do it.
The real argument is psychological: a cord is a tether, and a tether keeps you from wandering. With a wire you cannot walk across the room, so you listen more carefully and leave the house less distracted. Some constraints are features. Try a pair for a week and see whether you agree.