When connecting a DisplayPort to HDMI cable, can voltage be generated at the HDMI output?

Question

Iron

You need to connect your computer with a DisplayPort to HDMI cable to an HDMI multiplexer that has several other devices connected to it. Due to the fact that the sockets to which the PC and the multiplexer are connected are not grounded and are located in different rooms, when connected with an HDMI-HDMI cable, a voltage is generated that is quite noticeable when touched. Can the same thing happen when connecting DisplayPort-HDMI.

Answer 1

of course, the earth on the cable, for any reason, must be
the right decision - to make the correct grounding in all rooms, all other decisions will be clumsy and even dangerous

Answer 2

Yes, that's how it should be.
But it's not scary, first you connect the devices to each other, and only then you plug them into a power outlet.
Disconnect in the same way, first from the outlet, and then disconnect.
And if you look for instructions for a PC or monitor, it will be written there that before connecting, the devices must be de-energized.