Are all Phoenix connectors (of the same size) cross compatible?
There's a metric and a inch size, (3.5mm and 3.81mm pitch) that both look like the above, and also a 5.08mm that looks completely different. there are also variations with the barrels higher or lower on the plug body and versions with the cables at 90 degrees and the screws at 180 degrees and there's many different manufacturers making these connectors.
Plugs from different manufacturers are physically compatible so long as they are the right size.
Some plugs are rated for different maximum currents or voltages or temperature ranges etc if you need the guaranteed performance you should use the genuine connector.
If you have only modest needs like 2A at 24V and room temperature then you'll have no trouble mixing and matching