Is there anyone who knows the name of this port?

Though it doesn’t appear like HDMI, it does.

The main purpose of USB-A eSATA is to connect external disks.

However, it also functions as a standard USB port.

It might be an E-SATA port if it’s old enough.

Exactly what I had assumed

It’s a hybrid USB/eSATA port. You should disregard the eSATA portion and only utilize it for USB devices. It will function exactly like a standard USB port.

It is possible to utilize the connection for other purposes besides SATA, such as connecting an optical drive, SSD, or hard disk to your computer.

Given the restricted physical area of a laptop and the fact that devices with different ports weren’t as readily interchangeable in the 2000s, this hybrid port was incredibly creative. These days, USB has greatly simplified this procedure.

To give it a try, simply locate an eSATA to 22-pin SATA cable.

Does eSATA also have an output power?

The eSATA port is a connector meant only for data. One of my old computers has one, but I’ve never bothered to use its eSATA capabilities.