Your definition of await is correct.
Your definition of abide is incorrect. “Abide” carries the meaning of “survive”, or “endure” -
1) Accept or act in accordance with
"I said I would abide by their decision"
2) Tolerate, endure
"if there is one thing I cannot abide it is a lack of discipline"
So the example you give of “abide the day of the Lord” does not mean to wait for the day of the lord, but to endure his glory and justice when he arrives:
“But who can abide/endure the day of his coming, and who can stand when he appears? For he is like a refiner's fire and like fullers' soap.” - Malachi 3:2 - the context is that the people of Israel were calling on God to bring judgement on their enemies, and he is warning them that they themselves have acted corruptly.
Your definition of abide probably comes from its third meaning:
3) (of a feeling or memory) continue without fading or being lost.
"at least one memory will abide"
It carries the idea of living or staying with something, but again the emphasis is that something is enduring.
So a famous hymn starts “abide with me, fast falls the eventide”, which is a prayer for the Lord to stay with us through life as we look towards life’s end (poetically the “eventide”).
This line could be expressed as “stay with me...”, but “await/wait with me...” would not carry the correct meaning.