Homotopy Type Theory has been receiving a lot of hype during the last couple of years and been hailed as the most effective foundation of all Mathematics compared with Set Theory.

My question:
If HOTT is the foundation of all mathematics, will that pronounce death of Set Theory research ? or else the Set Theory is different descipline in which research is conducted independent of whether it is or isn't the foundation of Mathematics ? What sort of topics do set theorist research on ?