only if there is evidence of it. Meaning, you can physically see corroded traces, and if you follow a schematic and test point to point between RAM and its logic.
if thats ok, then no its not the electrolyte. Be honest, i dont think I have found any cases in my personal experience that capacitors have "killed" a board. Sure, they have done lots of damage, but unless its VERY severe, the electrical connections still remained intact. Now batteries on the other hand, yea.......
Besides If I am not mistaken, the axial capacitors are only in the power plane.
But all in all, since the capacitors have leaked and me not physically being able to see the board, no i cannot entirely rule that out, but judging by your picture, the capacitor hasnt leaked enough to do any damage at all. Axials typically do not.
Main PC: Intel core I7 920, MSI x58 platinum, Radeon4850
PB: tibook G4, ibook G4, Lombard, 160, 165, 180, Duo 2300x2, Duo 270c x2, 520cPPC, 3400c, 1400c
Desktop: G3AIO, 5260/100 x2, SE, SE/30, 512k, plus, LCIII, 7100, iMac G5 iSight, 6400/225