For outside, I actually find wireless headphones to sound better for three main reasons:
- Better fit. Proper fit is essential for good sound and I rarely get a good fit on wired in-ears due to the constant pull on the cord.
- Microphonics (cable rubbing noise). Microphonics is very obvious and annoying. It is far more obvious than for example the difference between AAC and lossless. Audiophile reviewers hardly ever evaluate microphonics, because they test under ideal conditions behind their desk. Cable noise is not considered part of the driver's sound signature, but in real life it has a huge impact of what comes in your ear.
- Noise cancelling. Music sounds better without bus engine sounds.