Moving C3 will also change the filtering characteristic of the output filter. If I assume it's audio, and the output goes into a 20k Ohm load, then the corner frequency will shift a factor of 10, and that is quite significant.
With a 2k load it will be:
1/(2e3*1e-6*2*pi) = 79.5Hz
... and this is a bit high for audio. With the implied 20k it will be 8Hz and that's "plenty" for audio.