For a given isotope, does the nuclear binding energy per nucleon depend on the presence of electrons? For instance, if an electron was excited by an incoming photon and jumps to a different orbital, will the nuclear binding energy change?
In an answer to another question I made reasonable estimate of the amount of electron charge that's contained within the nucleus. (Actually for that question I used a volume somewhat larger than the nucleus, but the method is there.) To first approximation, all the electronic charge within the nuclear volume comes from the two $1s$ electrons. The distribution of a full $p$-wave or higher shell is spherically symmetric. By the shell theorem, a spherically symmetric shell of charge does not affect the energy levels of systems inside.
Since the nuclear interaction is mostly blind to electric charge, and the charge within the nucleus is always a tiny correction to the proton charge, the effect on nuclear structure due to electronic charges must be very small.