Those are not headphones. Those are in-ear earbuds. They likely block (physically) conversations much more than they cancel them.
I have over-ear noise-cancelling headphones and they don't do a lot for conversational tones. They're great for planes, and they're great for mowing. They don't do much for people talking nearby (beyond the passive blocking they do) unless I turn the volume way up.
I have over-ear noise-cancelling headphones and they don't do a lot for conversational tones. They're great for planes, and they're great for mowing. They don't do much for people talking nearby (beyond the passive blocking they do) unless I turn the volume way up.