I'm confused how your pro #2 has to do with wireless headphones, as you could find much cheaper wired headphones with noise canceling even 20 years ago. I'm not sure about pass-through, but I imagine that's more of a feature now because of technology upgrades.
I even used those wired headphones while mowing the lawn with noise cancelling and could hear the music without having to crank the volume to max. I think there might have even been an EQ button with different settings pre-made (however weren't customizable to my knowledge). Not sure whether that's also just because of the technological process now or not.
I'd say battery life is another con for wireless headphones, both for the headphones themselves and the device being used. I have worked a job where we'd have some shifts as long as 10-12 hours and with wired headphones, I'd still have 20-30 percent of the phone battery left, even if I had been listening to YouTube videos with the brightness all the way down. However, with the wireless headphones either my headphones or my phone would die before the end of a long shift like that and I'd be stuck without my music for the last 2-3 hours, even just listening to music with no video.