R10 is a last ditch effort to save the current limiting of the op-amp.
No, R10 shouldn't be relied upon for current limiting. If it's shorted the transistors would still have enough base current to allow a damaging collector current, made higher by the fact the current gain has a positive temperature coefficient.
Get rid of those caps. Maybe reduce the biasing resistors to 3K each and remove the 220Rs. I think headphones are 64R (are they?) so make the emitter resistors, say 5R each, even 10R each. If you do all that change R10 to something just for lip service, 10R, or remove it.
Perhaps you should read the thread more thoroughly? This is not a criticism, since I don't blame you for not having the time to read through a such a long thread. A similar configuration to what you've described has already been tried and found unsatisfactory. Here's a link to the schematic.
https://www.eevblog.com/forum/projects/guitar-headphone-amplifier/msg1214040/#msg1214040Here's why:
If you remove the bypass capacitors then you'll need to also reduce the value of the biasing resistors to the point, where the quiescent current becomes very high to get the desired power output. Removing the 220R resistors may help reduce the quiescent current but it would increase distortion dramatically.
The headphones have an impedance of 32R per channel and are connected in parallel making 16R, so increasing the emitter resistors is a bad idea.
I am not sure your ground is a good ground, trying to split the 9V supply into two. The op-amps draw a lot of current, as do the buffer transistors, and the 10K split supply resistors will allow what, .45mA, whereas each op-amp draws a few mA itself. In order for the split supply to work you'd need an impedance 10x, or 20x of the largest current draw, so for example if all the op-amps and all the buffer transistors drew, say, 12mA in total, you'd need a potentiometer of 1.2mA (10x) or 0.6mA (20x) to make some half-way house ground and even then. You could try to make a better ground by using a spare op-amp if there is any. Or better, do away with trying to split the supply. Or use 2 x 9V batteries, more headroom too!
There is some truth in this but it's grossly exaggerated. The current taken by the op-amp and the buffer transistors makes absolutely no difference to the split power supply because it just passes from +V to -V and doesn't flow into or out of the 0V node. The biasing currents going in/out of the 0V node will also be insignificant. As long as the current from the +V and -V rails is equal, then no current flows in or out of the 0V rail.
The 0V rail is bypassed by two 220µF capacitors, which effectively make 440µF, which will present a low impedance path to 0V for the headphones and the input voltages, so that isn't a problem.
The places where the positive and negative currents are not balanced is what will cause the 0V rail to rise/fall. The most glaringly obvious one is R11, which is connected to +V, via a couple of diodes. Fortunately this is easy to fix: R11 could easily be connected to -V, without much change to the voltage across the diodes. R13 is more of an issue, although perhaps as it's a clipping detector, one would say it doesn't matter, since when the LED lights and starts to pull the 0V rail up, then the user should adjust the volume any way. That then leaves R27, which will leak a small current into the 0V point, more so at higher output levels.