Want a Second Look Do all of these Capacitors Need to be Changed?
The white goop in your photos is not something that exploded out of the capacitors. It's something like a potting compound, and if I guess right, it has a kind-of rubbery consistency.

I suspect it's there to prevent the tall parts from being bent over to where they touch the heatsinks next to them. If that were to happen, those capacitors could be overheated and their lifetime would be shortened considerably.

I've seen similar compounds used more commonly on tall parts to dampen physical vibrations which could wear out the leads over time, but given all the other tall parts on your board that don't have the goop on them, that's probably not what's going on here.