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.