Actually, while I was a wireless headphone skeptic, I don't feel I'm missing 3.5" audio jack much. There are two reasons for this.
First of all, Apple's own adapter is a brilliant DAC. It's output is really nice, and when I need wired audio, I can get very good sound with it and a couple of nice monitors (RHA MA750i) or high-ish end buds (Sennheiser MM70i).
However, wired headphones are not limitless in life either. My MM70i set is almost unusable because the jack has worn down from so much use, and one channel is not making contact on 8/10 systems I plug it in.
Secondarily, entry level wireless headphones came a very very long way in terms of sound quality and battery life (both per charge and total lifetime terms).
I have two wireless headsets. A Philips SHB 3075 (Made by Gibson Electronics IIRC) and a Sony WH-CH510. Both are entry level systems. Philips should be lasting 8 hours or so per charge, but it lasts at least twice long. I use it every day at office and plug while leaving, and it never told me I need to charge it.
Sony is a completely different beast. I could only use half of its charge if I really try to. They forgot to tell that it needs to use the charge in the battery.
In terms of sound quality, both are excellent for their price points. Philips is not the most detailed, but it's very nicely balanced and non fatiguing. Sony really hits above its price point. It's enjoyable even in focused listening if the source material is mastered with some minimal effort.
I say time to time, but as a person who played in orchestras and an owner of an old school component Hi-Fi system, modern wireless headsets are miracles in sound quality terms.
Apparently matching the amplifier and the driver at the design time has a really big effect than we have thought. Bang Olufsen was right to add ICEPower amplifiers to their speakers and sell them as tuned units. It changes a lot.
I also want to add that Apple's sound dosimeter is a very nice technology which presumably works by getting some metadata from the headphone to calculate noise levels for protecting the hearing, which is extremely underrated.