In general, active noise-canceling headphones are effective mainly at low and low-mid frequencies. The shorter the sound wavelengths, the less precisely/effectively this type of headphone can cancel them. To block out mid-high and high frequencies, you need (passive) acoustic isolation; active cancellation can't do it.
Also, I'm a dissenter about the Sony V6 phones despite their ~30 years of popularity. I tried switching to them at the end of the 1980s after years of using the Beyer DT-48 phones (the ones designed for audiometry, with very flat response) which were unfortunately painful to wear for any length of time. I think that both the mid-bass and the upper midrange response of the Sony is exaggerated to the point of danger: If you use them to judge your microphone positioning, you could easily believe that you're getting enough weight and clarity in your recording, when you're really not. I say that from sad experience with recordings that just didn't turn out as well as I thought they would. Despite trying for over a year, I was never able to adapt to the built-in "flattery" of the sound of those phones.
As an antidote, I've been using Sennheiser 280 or (more recently) 380 headphones for about ten or twelve years now. They're not beautiful sounding--I would never choose them for "pleasure" listening--but they don't overemphasize any particular region of the audio spectrum, and their overall distortion is low, so with a little practice you can get a pretty accurate idea of what your microphones are actually picking up. And they isolate you from room sound better than any other professional quality phones that I'm aware of.
--best regards