Double wall AC socket with load on one side and power supply
You can check with tester is it connected as you circled. And check is one of the wires in plug goes to the PSU shield. Anyway single power supply will not be damaged. Note that most of the AC sockets has no polarity. But if you have 2 non-isolated PSU and want to use them in parallel, there are some variants available in case all systems are bad-engineered.