Assuming it's one of the four capacitors C356-C359 that's failed? (I wouldn't call them snubbers), they are just to help protect the bridge rectifier from possible mains spikes, then it shouldn't cause any damage elsewhere.
If it is one of those?, then just remove it, and the amp should work fine - they have no effect on the working of the amplifier, and often aren't fitted anyway. But if removing it cures the fault, you should replace it.
I would consider 'snubbers' as C351 and C361 - these are high voltage, high frequency, capacitors, usually small blue discs, and VERY prone to failure. Mostly easily identified by obvious splitting, burn marks, or having exploded. I used to keep as wide a range of possible of suitable replacement capacitors, because they are quite difficult to source, so I stocked every value I could get (but still only in single figures).
IF (and it's a big IF!!) you're lucky, then just replacing the capacitor (and mains fuse) might cure it - but often it takes the SMPSU with it, and requires a fair number of components replacing, such as Q302, U303 etc, etc, etc.
But you should check Q302, and see if that's blown - and double check which capacitor you think has failed - and perhaps post a picture of that part of the board?.
Edit:
Just had a quick google, and found pictures of the affected capacitors across the bridge rectifier - and that they are surface mount ones blown on the bottom of the board - not surprising for tiny SM capacitors, stupid idea using those.
I would expect removing the capacitors (all four of them) and replacing the fuse will cure the amp - unless you've been really unlucky?. If that cures it, I would suggest replacing them with decent sized through-hole capacitors, rated for such use (you could solder all four across the bridge rectifier pins on the bottom of the board).