Vantage is used by some lenders, so it isn't precisely the same as "educational" only scores like the Plus score. It's probably more accurate to say that FAKO just means not-FICO.

No scoring models correlate to any of the other scoring models. They are not meant to be predictors of each other. The various different models are competing models for predicting risk. They give different weight to different information in your report. So you should not expect them to give the same result. When they do, it is mostly coincidence.