The fact that the spins are different probably has a hint in it... The high spin complex has the ligands using up the 4s and 4p orbitals leaving the d orbital free with many unpaired electrons from which one can be removed rather easily to oxidize the metal ion.
On the contrary, since the low spin complex's ligands occupy the d-orbitals, with only one unpaired electron, oxidizing is a bit difficult, because it involves removing an electron from the very same d-subshell.