The entire point of life appointments is to remove partisanship from judicial decisions. If the judges were up for election, their performance would most certainly suffer.
For example, look at the Federal Reserve. They are supposed to be independent from politics, but their head is appointed by the president every X years, and so they naturally make the decisions that guarantee them reelection and not the decisions which would maximize economic stability/utility.
For example, look at the Federal Reserve. They are supposed to be independent from politics, but their head is appointed by the president every X years, and so they naturally make the decisions that guarantee them reelection and not the decisions which would maximize economic stability/utility.