Poor recommendation.
Sennheiser's PXC-550 (and it's "business brother" PXC-660) does this already. In fact, it was my choice last year when I tested the Bose QC-35 vs. Sony MDR-1000X vs. Sony MDR-100ABN vs. Sennheiser PXC-550:
- Bose was most comfortable and had superb NC, but horrible sound. Bass is too soft and imprecise. Buttons for operation are rather big - good for operation, bad for looks. The buttons are too close and of the same size, which makes it a bit more fiddly to use them.
- Sony MDR-100ABN was feeling heavy on the head, which - together with hard ear cushion - made them less comfortable, with mediocre NC, but good sound. Single-axis folding still leaves it rather bulky and operation a tad confusing due to various buttons instead of touch control (like with the MDR-1000X or the PXC-550). Liked the can design and the intense colors. And it was the most inexpensive.
- Sony MDR-1000X was still not as comfortable as the Bose, had good sound and NC, but build quality was a bit lacking. Plus the lack of user-servicing (battery, ear cushions - Sony requires you to have those done by an authorized service center, which is costly and time-consuming). Folds flat nicely due to 2-axis folding. Touch control is nice, as is the "eavesdropping" via external mics. Did not like the design that much, though. The "leathery" cover of the cans made it feel a bit tacky to me.
- Sennheiser PXC-550 was nearly as comfortable as the Bose, was very close in terms of NC (which is variable and can be adjusted in a companion app, together with adjustment of sound modes), offered a good sound and is user serviceable. Connetion to two devices is possible in parallel (unlike e.g. the Sony's), but that's not crucial for me. "Eavesdropping" as with the MDR-1000X. I also like the user interface via the touch pad in the right can (though you need to adjust to the required tapping speed) and I really(!) like the automatic on/off when folding/unfolding (which makes it nice and flat due to 2-axis folding). NC also works without BT connection (others like the MDR-1000X switch off automatically in that situation) and you can continue to listen while re-charging. In total, to me it offered the best package.
If going for Sennheiser wireless, take the PXC-550 (PXC-660), as argued above. Or - if you don't need good NC, but prefer superb sound, good build quality and classy looks, take a close look at the Momentum line. The HD1 edition seems to incorporate better NC, while keeping the Momentum's basic construction, but I did not listen to that set yet.
Comfort- and NC-wise, Sennheiser comes close with the PXC-550, which has far superior sound and better user interface (touch pad) than the Bose.