SolarCetacean
500+ Head-Fier
Balanced output will generally have 2x the output impedance of unbalanced. That's not unusual. The amp designer would need to use an entirely separate output circuit on the balanced output to have an OI that's the same as the unbalanced. Balanced also has 2x the noise, because there are two output devices. The only real benefit of balanced output (as opposed to balanced interconnect) is the greater output power (up to 4x) and voltage (up to 2x) from differential signaling, if the amp's voltage rails and power dissipation can handle those levels.
As to whether that OI is a problem, only if you're dealing with extremely low-impedance headphones that also have large impedance swings. Keeping to the rule of 8ths, if you have a headphone/IEM with an impedance of above 16 ohms and has no significant swings in the impedance curve, I don't think you'll have a problem. Note that having a high OI can sometime produce pleasant effects (like boosting a particular FR region) with certain headphones even if it's technically inferior.
As to whether that OI is a problem, only if you're dealing with extremely low-impedance headphones that also have large impedance swings. Keeping to the rule of 8ths, if you have a headphone/IEM with an impedance of above 16 ohms and has no significant swings in the impedance curve, I don't think you'll have a problem. Note that having a high OI can sometime produce pleasant effects (like boosting a particular FR region) with certain headphones even if it's technically inferior.