I assume you are using the opamp & cap to produce a virtual ground for the input side.
Do you have the outputs capacitively coupled to that, or to negative? Coupling to the input ground could cause distortion, it would be giving some positive feedback at low frequencies.
Otherwise, as long as the single supply is adequate for the output you need, it should work OK - though you will have to adjust some resistor values in the transistor buffer sections to allow for the lower overall voltage.
The 1.5K resistors will need reducing to restore a similar bias leves between the output transistor bases, to what would have been present with 30V total supply. Possibly 680 ohms is worth a try.
Re. the $1200 amp - I'd put that in the "idiot bait" class, as with a lot of so-called audiophile gear. It's a simple design with not a great value of components and for most stuff like that you can find equal (or better) quality gear at a fraction the price.
Example - a "Headphone DAC" someone on another forum was advising a person to buy.
The cost was over £4000 but looking at the technical specs, the figures were not as good as with some common audio interfaces used for home studios - the headphone section of a Focusrite Scarlett 2i2, which you can get for about £100, has far better specifications & enough output level to go beyond painful.
Pair that with some Sony MDR-5706 headphones (less than 100-) and I'd challenge anybody to find anything that is _actually_ better in any functional sense, rather than just claimed to somehow be magically better.
I have an extreme dislike of places that push ludicrously overpriced stuff & rip people off..