I once bought a "refurbished" drive from my local computer shop. The Seagate factory label on the drive clearly indicated refurbished (and was clearly different from a new drive's label). The serial number also came up as such on their warranty website. This drive worked just as well as the similar new ones it was in a RAID with.
I once bought a few "refurbished" high end enterprise drives from an online place that sounds like a breakfast joint, and what I got was drives which had TENS of THOUSANDS of hours (several years) of spin time according to SMART. Most had at least a few bad sectors and quickly developed more. That was a learning experience; I learned that such drives are simply old, used up drives retired from heavy service in some server farm somewhere. Those guys know what they are doing, and know that drive failure rate goes wildly upward after some age, so they retire working drives before that age, and dispose of them. These garbage drives are bought in bulk, dusted off, then resold as "refurbished" to unwitting users looking for a bargain. It's no bargain. They are used (used up), not refurbished, and they should be considered as junk. I use my junk drives to store secondary cold backups.
All hard drives will get hot, especially enterprise drives, or any 7200 RPM or higher drive. They need airflow. I have an external USB-SATA dock which holds the drive vertically and almost entirely exposed to air, ideal for convection cooling. Even that isn't enough to keep some drives from getting uncomfortably hot to the touch. Try to keep them below 40 deg C (warm, not hot feeling) and they will last much longer.