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Yes, but...
Currently, the methanol used on board the Stena Germanica – the only current vessel employing methanol in the world– is produced by natural gas synthesis, as is most of the methanol produced in the world today.
It might very well be a big improvement of what's used otherwise, but one always has to be careful in assessing where stuff comes from and what the downsides of its respective production are.
Is there an actual plan on this, or is it just what you're hoping? Because generally speaking, 'biofuels' aren't taking off at all, mostly because it's simply not possible to produce enough of it to cover the current consumption, never mind produce it in a way that is actually 'better'.
Overall it's not a bad idea to use them where they are a by-product, but that can't replace any significant percentage of current fuel consumption.