That may be all that you (currently) intend to use it for, but that's not the point. You might drop dead tomorrow, and there would then be no telling what others may subsequently plug into the socket. What you are suggesting/proposing is potentially just plain dangerous, even if not necessarily dangerous to you.The IP66 socket to be fitted to my park/mobile home will only be used to power class 2 equipment.
Apart from anything else, as you were told in post #4, the Wiring Regulations (BS7671) require that an 'earth' be run to every accessory (including sockets) and every point in an electrical installtion, even if it is not currently required ...
["circuit protective conductor" being what you call an 'earth']BS7671:2018 said:411.3.1.1 Protective earthing
..... A circuit protective conductor shall be run to and terminated at each point in wiring and at each accessory except a lampholder having no exposed-conductive-parts and suspended from such a point.
That may not be your wish, but you nevertheless seem to be succeeding in achieving that! You might sometimes see people arguing that, despite the above regulation, not running an earth to some places in an electrical installation might not really be much of a problem - but not connecting an earth to a 3-pin socket is just ridiculous, and potentially dangerous.I have no wish to appear confrontational ...
Kind Regards, John