When I mentioned that the AMO and PDO are defined oscillations best used for weather not climate I feel the deer in the highlights look. The AMO and PDO are effects. Something causes them on longer time scales. If all you are concerned with is weather patterns, they are fine, but if you are trying to predict climate, without even knowing what time scale is best or climate, you don't just assume things are fixed oscillations.
They are not perfect fits, but the AMO combined with the PDO properly scaled pretty much replicate the 30N-70N SST. If you have the 30N-60N SST though, why do you need to replicated it with couple of combined weather pseudo-oscillations?
Since the AMO and PDO are the results of changes in ocean heat transport, not the causes of ocean heat transport it is a little twisted to consider either "causing" climate to do anything. They do impact weather which really should be considered a different subject.