The date code on the capacitor is 1976 so I’m guessing not.
https://en.wikipedia.org/wiki/Capacitor_plague
Even equipment from the 1950s rarely have to have their capacitors replaced, though sometimes they have to be "reformed".
For most things I’d expect there to be no difference between the value of a computer with original caps _and no damage_ and one with recaps _and no damage_, because the buyer is going to recap anyway. For this Apple I, which is a museum piece rather than a hobby piece, I really don’t know if that holds.