When Washington was giving this speech, France, the key benefactor to the infant United States, was in the middle of a pretty nasty revolution and probably really wanted some repayment for their help. So the context here might also be relevant, the US was basically saying "Uhh...yeah, as a matter of principle we really shouldn't get involved with whatever crazy stuff Europe is up to!"

So I think the context matters a lot, and I agree if Washington were alive today (and somehow able to function with the grievous age-related illnesses he'd be suffering) he'd generally support the established transatlantic alliance.