For what it is worth a more plausible account of the pragmatism of what truths we hold on to and what not under observation comes from Bayesiam theory, specifically Dempster Shafer theory.
At minute 9:18, you state that synthetic statements say something about the world because they can be verified or falsified by facts about the world, whereas analytic statements do not. I believe this is a mistake, since although an analytic statement does not depend on experience (or causal relations) for its truth, it can still be instantiated in states of affairs or facts in the concrete world, giving us epistemic access to such statements. Thank you for the video.
Quine: Two Dogmas of Empiricism
Simon Cushing
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Quick overview of (1) Quine's attack on Logical Positivism, and (2) some of Quine's more controversial doctrines