Change to LM4562 and you might be able to remove this cap.With emphasis on "might", like in bold print, or a big neon sign. The LM4562 is indeed a good sub candidate for the 5532, even though it's not for the TL072. And the 5532/5534 is definately not known for its DC performance -- I agree that most newer designs are much better.
But the input bias currents of these medium-impedance bipolar opamps are far from negligible, and it is extremely rare to find balanced DC impedances in an audio opamp circuit that features an output capacitor - and this is what to look for (in addition to low DC gain) if you're planning on removing this capacitor in a circuit without a DC servo.
I take it you're fond of this part for its sound quality . . . maybe I'll have to add it to my list of things to play around when I have some time.