`Sys: Auto discovery` vs.`Sys: OpenHab discovery`

I am using an OMG_lilygo_rtl_433_esp MQTT gateway to connect my 433mHz devices to HomeAssistant.

In the Lovelace panel on HA, there is a OMG_lilygo_rtl_433_esp MQTT block with entries Sys: Auto discovery and Sys: OpenHab discovery.

What is the difference between these two types of discovery?

and the following

So for Home Assistant you want the first one to be true, the second false - as per defaults.