One of the important factors of a headphone source output quality is its output impedance, yet this spec is often not published by manufacturers.
Just because a headphone jack fits into an amplifier doesn't mean that those two devices will play along nicely. Don't worry, nothing will break, but sound can get affected:
We generally want our source output impedance to be significantly lower than the impedance of the headphones. This is due to 3 main reasons: