They don't have the same sound profile of the QC25s when used in wireless mode. Here's a rather simple explanation why:

http://www.cnet.com/news/can-aptx-gi...ver-bluetooth/

The bottom line is this: Bose QC35s are SBC, not aptX. Though the phones themselves may have the same sound profile as the non-Bluetooth QC25, when used wireless, you're listening to significantly degraded audio. If you listen to music from your phone (which is a general purpose device and doesn't deliver HD audio), listening over Bluetooth will degrade the audio but you probably won't notice. On the other, if, like me, you use an HD player (I have a Fiio X5ii), you most certainly will notice the difference between Bluetooth and wired.

Bose phones are only so-so with respect to sound quality, but industry-leading noise cancellation is a worthwhile trade-off (and no other active noise-cancellation phones have better audio quality). However, Bose's implementation of Bluetooth only transforms them from so-so phones to wireless considerably-less-than-so-so phones. This may not matter to many people, but I think everyone should know exactly what it is that they're buying.