Abraham:
Yhwh commanded him to move out to a strange land, away from his relatives and friends, and so he did [Genesis 12:1-4};
Yhwh promised to him his seed to become a great nation [Genesis 12:2; 12:7; Genesis 13:14-16; Genesis 15:5-7];
Yhwh promised him an heir of his own seed [Genesis 15:4];
Yhwh commanded him to sacrifice, and so he did, securing the covenant made [Genesis 15:8-21;
Yhwh promises him not only a nation, but a crowd of nations [Genesis 17:4-5];
Yhwh commands him regarding circumcision, and he complies [Genesis 17:10-14; Genesis 17:22-27; Genesis 21:4];
Yhwh promises him a son from Sarah, to be a father of 12 tribes [Genesis 17:15-21];
Yhwh reaffirms his promise to Abraham for a son with Sarah [Genesis 18:14];
Yhwh and Abraham discuss the fate of Sodom and Gomorrah [Genesis 18:20-33];
Yhwh fulfill his promise to Abraham regarding a son from Sarah [Genesis 21:1-4];
Yhwh commands Abraham to take Isaac to Moriah and offer him as a sacrifice, and Abraham complies - Yhwh reconfirms his promise for a nation and a crowd of nations [Genesis 22:1-2; ].
Now Moses:
Yhwh commands Moses to remove the sandals from his feet [Exodus 3:5];
Yhwh informs Moses of his plan to go down to Egypt to free his people [Exodus 3:7-9];
Yhwh informs Moses that he will send him [Moses] to Pharaoh on his [Yhwh] behalf to accomplish Yhwh will to free those in Egypt [Exodus 3:10];
Yhwh promises to be with him [Exodus 3:12];
Yhwh specifically instructs Moses to go in His[Yhwh] name, and in fact, tells Moses of the name he had selected for himself, Yhwh [Exodus 3:15];
Yhwh empowers Moses to perform miracles in his [Yhwh] name as credential and proof that he has come in Yhwh's name [Exodus 4:1-9; Exodus 4:17];
Yhwh allows for Aaron at Moses request - therefore Yhwh to instruct Moses, Moses to instruct Aaron [Exodus 4:10-15];
Yhwh states therefore and promises that Moses will serve as God to Aaron [Exodus 4:16];
Moses and Aaron comply with the command to the people [Exodus 4:30-31];
Moses and Aaron speak to Pharaoh in the name of Yhwh [Exodus 5];
Yhwh continues to provide Moses commands, and tells Moses to go and proclaim such to Pharaoh in his [Yhwh's] name [Exodus 6];
Yhwh tells Moses that he has made him god to Pharaoh [Exodus 7:1].
In both Abraham and Moses' interaction with Yhwh, Yhwh issues commands, and they comply. And in both cases, Yhwh makes promises to them. These are not unique between the two situations, but are similar.
But in no instance did Yhwh state that Abraham should go to any third party, and declare that he came in the name of Yhwh. Additionally, there is no instance in which Yhwh empowered Abraham to perform miracles. Such is the case whether we speak of Yhwh's associations and conversations with Adam, Cain, Abel, Enoch, Noah, what have you, all those before Moses.
It is in this sense in which the relationship with Moses is unique - he was the first to be commissioned specifically to go in His memorial name Yhwh [Jehovah or Yehovah]. - Exodus 3:1-5.
No other one before him was commanded to "go in his name". Thus Yhwh specifically "appointed" Moses as his prophet and representative, and Moses could now correctly be called an "anointed one", or "messiah", or "the Christ" as at Hebrews 11:26. Yhwh, through the angel, provided credentials that Moses could present to the older men of Israel - these being in the form of three miracles as signs. Here also, for the first time in the Scriptures, we read of a human empowered to perform miracles in the name of Yhwh [Exodus 4:1-9].
He was commissioned in Yhwh's name, and authorized in Yhwh's name as both a prophet, and to perform miracles. - he was to represent to men an authorized representative of Yhwh, the only true god.
Is it here also, that the for the first time, the scriptures inform us that Yhwh applied the title of "elohim" to a human being.
Perhaps this helps address your question regarding your classification of elohim under your category 3.2.1 as distinguished between category 3.2.2 - true verses false elohim - authorized elohim, verses not authorized elohim.
The key being, coming in His name, his representative, and the credentials to prove it to others. Coming in His name - you might recall some of Jesus' own statements in this very regard.
Another post to come today from me - one which specifically responds to your posts - but must run out and get some fish to eat for the coming week - gotta eat you know J Be back in a bit