Balanced connections for driving headphones are a huge marketing fad in my opinion. It already starts with the fact that there's no standard connector, making lots of aftermarket cables necessary and potentially binding customers to your brand.
Technically, balanced connections enhance crosstalk performance and noise rejection, which aren't really important in headphone applications. However, they increase hiss, distortion and output impedance, which ARE important in headphone applications. It's especially ridiculous that balanced connections are so heavily marketed in portable gear, where people often use (BA) IEMs. Those are especially sensitive to hiss and high output impedance.