Is the headphone output the same quality signal as the main output? I'd like to send the headphone output into ch.2 on my analog dj mixer

Is the headphone output the same quality signal as the main output?

I’m thinking of sending the main output to channel one on my (analog) dj mixer and then sending the headphone out to the other channel. Then I can leave the main djay 2 crossfader on the left side and the headphone crossfader on the right and use my external mixer as If I was using records, right?