The large hole on the underside should not come from a failed top side cap.
Ceramic caps generally fail open (AFAIK).
I wonder if it is caused by an over stressed via.
The burning may be an arc set up by too little clearance or migration of conductive material. I've seen migration cause that sort of burning in Sata power plugs, had to look it up.
The only way that should be in any way related to the supply is if the cap was trying to deal with horrible ripple or voltage spikes, both I would hope are unlikely on a decent PSU.