If you put butter into a pan that is too hot and it starts burning, it can be useful to cool things down by adding some oil. But the milk solids will always bur

If you put butter into a pan that is too hot and it starts burning, it can be useful to cool things down by adding some oil. But the milk solids will always burn at a given temperature. A mixture of olive oil and butter won't let you cook at a higher temperature than just butter.