Term Limits for SCOTUS Justices?

The whole idea of life-time appointments to the Supreme Court of the U.S. was to provided those justices with judicial independence. They would not have to worry about getting re-elected or re-appointed you see. No one could threaten their positions through those processes. But, would not finite term limits also provide such independence? Say a fixed ten-year term with no reappointment possible? Not having rapid turnover would allow justices time to learn the positions and time to exercise their talents but we would not be stuck with underperforming justices forever and ever, Amen.

Sounds like a good idea to me. And seems more doable than expanding or contracting the size of the court.