Who makes a better nucleophile? CH3O- or OH-? [duplicate]

My argument is that the +I effect of CH3 group increases the electron density at oxygen atom, making it a better nucleophile

However, at the same time NMR data predicts that methanol is a stronger acid than water (despite the I+ effect of $$\ce{-CH3}$$ group). So, in this case, there exists a controversy.