DisplayPort in native mode lacks some HDMI features such as Consumer Electronics Control (CEC) commands. The CEC bus allows linking multiple sources with a single display and controlling any of these devices from any remote. DisplayPort 1.3 added the possibility of transmitting CEC commands over the AUX channel. From its very first version HDMI features CEC to support connecting multiple sources to a single display as is typical for a TV screen.

The other way round, DisplayPort's Multi-Stream Transport allows connecting multiple displays to a single computer source.

This reflects the facts that HDMI originated from consumer electronics companies whereas DisplayPort is owned by VESA which started as an organization for computer standards.