Could be perceived quality differences due to the power level, if you don’t have any way to do very accurate level matching when doing A/B comparisons between the two outputs.
But other than that, the one benefit you should always get on balanced vs. SE is stereo separation (and possibly imaging and detail as side-effects of better separation). That’s literally what “balanced for headphones” was invented to do, and it’s the most probable to be an audible difference the lower the impedance of your headphone/IEM drivers that you’re testing with.