At some point it looks like Putin definitely got a facelift, but why his surgery would have also included so many unnecessary little changes is not clear. His skin-tone also seems quite different, but that could be due to circumstances and age.
They certainly look very different – it is difficult to believe that they are the same person. And yet the symmetry and alignment of the features remains close – or at least there are no blatant differences other than “look”. Conclusions based only on intuition rather than objective measurements of symmetry are rather speculative. So I’m not convinced, but it was an interesting theory.