It's worse in every possible way: worse quality (improved recently, still worse), expensive, includes non replaceable batteries, therefore requires charging and increases pollution when the user is forced to ditch the phones just because the batteries died.
My first wireless headphones are 5 years old and not showing any noticeable battery degradation. If they die, they’ll be sent in for recycling. Assuming the battery gets recycled, I don’t see a significant difference other than the lack of copper wiring.
If you consider that earphone in general are not that much durable and a wireless earphone has more environmental impact to be produced (battery, bluetooth components) while the old audio jack is simpler and still a standard.