Yeah, it’s not intuitive. An azeotrope like ethanol/water is different from what happens with methanol, which is based on relative solubility.
Ethanol (CH3-CH2-OH) has an extra ethylene group compared to methanol (CH3-OH), making it slightly more repellent to water (the OH at the end of an alcohol is hydrophilic, the CHx groups are hydrophobic). So as the temperature increases, the water “holds on” to the methanol more than the ethanol.