No, no, no. The methanol doesn't do anything for the injection system besides being in there as an antifreeze.
A little history lesson for you. Water injection was first used on propeller driven fighters as a temporary boost increaser for their engines during what is called War Emergency Power. The water injection was used to stop detonation at high boost pressures (sometimes exceeding 70 pounds of boost!) during climb and dogfighting.
Now, when you're at say 20,000 feet, water freezes quite easily. The Germans put methanol to keep the water for injection from freezing at altitude.
Water has the highest specific heat, meaning that it can absorb more heat than other natural fluids (there are others that come close but they are very toxic). Alcohol doesn't freeze until a lower temperature than water and it's miscible (means it mixes completely with) with water.
SO, if you're living where the temp rarely drops below freezing, just use distilled water. The reason I say distilled is that tap water or even bottled water has minerals in it for taste and may leave deposits on the pistons, but this is probably a very remote possibility.