I think so, at least he should, because he was among the first (if not the first) having the idea of neutrino oscillations. To stress it again, I think the Nobel for SuperKamiokanda and SNO is long deserved (not to say overdue). I don't understand, how ChrisVer can doubt this. It's among the most exciting discoveries in HEP within about the last 20 years. Of course, there was the discovery of the ##\tau## neutrino in 2000 and of the Higgs boson in 2012 (leading to the well-deserved Nobel for Higgs and Englert in 2013), but this was not that surprising, because it's Standard Model Physics. The neutrino oscillations are really something new. The prize to Davis et al. was of course also well deserved and this indeed did not cover the discovery of the neutrino oscillations themselves, but I think that the understanding of where the solar-neutrino deficit came from was a prerequisite to give the prize to Davis et al in 2002, because before there was still some doubt about the validity of the measurements. With the SNO results, showing that with neutrino oscillations taken into account the solar-neutrino deficit was completely explained. It's only a bit sad that Bahcall who worked on the solar-neutrino models for years and was found right after all this effort, couldn't share the 2002 prize anymore.
I hate it, if Nobel prizes are somehow discredited, because one of the unique things with these prizes (at least the ones for the "hard sciences") is that they are almost always very well deserved and justified. There are very little examples coming to my mind, where one can argue about that. The only example that comes to my mind is the omission of Lise Meitner and Strassmann in the prize for nuclear fission, given to Otto Hahn alone in 1945. Of course, the prize was well deserved but should have been shared with the key players in the discovery.
Sometimes you read stupid comments on why the one or the other prize was not deserved for the work honored, even in some serious newspapers. Some years ago the Frankfurter Allgemeine Zeitung (FAZ) in Germany wrote something against Abrikosov's Nobel for the theory of superconductors (Abrikosov lattices), which argued that this is just "textbook physics". At the time, I wrote a letter to the editor pointing out how stupid this is, because they should have thought, how this discoveries could come into the textbooks in the first place. It's because of Abrikosov's work, and thus it's more an argument to justify to give him the prize than arguing against it!