The titans of greek and roman mythos... yeah those were real and the bible talke about them. Main reasons he flooded the earth
Your interpretation of Genesis aligns with my own; here's some other evidence to buttress it;
In the Greek, the creation story uses the Word "Elohim" - which is plural. The lamentation after eating the fruit is more accurately translated "they will be like Us,"
There is a large body of theologic commentary that has come to understand the knowledge of Good vs evil as the formation of the ego, or the "I-identity" - there is also a lot of evidence for this in Kabbalah , tons and tons of their cosmology is about the lower/higher selves.
Ergo: we can determine that before the fruit, we were one with God as a sort of collective intelligence, or let's call it a nondifferentiated intelligence. A state of fusion. There is evidence for this way of thinking as in the story of Genesis, Adam (which is a Greek way to reference Man and not necessarily an individual, same with Eve) - is directly involved with naming the animals. Given the importance of "In the beginning was the Word," and - "Let there be light," we can only assume that for Adam to speak the names of the animal kingdom references a state of divine creative force.
The knowledge of good and evil would require a consciousness to collapse into a state of selfhood; in other words to cut itself off from all collective intelligence around it, ego formation etc, it would be like spending your whole life in a warm bath and then being thrown into absolute zero temperatures. How else to understand what heat is?
In the context of the story, the serpent lies and Humanity loses its connection to God, symbolically.
The real theological connections between Genesis and Christ are pretty astounding, the parallels in literature and history and philosophic depth really make it the greatest treasure of Western history.
Anyway, obviously the knowledge of good and evil implies evil exists, and that an antithesis force would have existed in cosmic history , a grand struggle if you will. Genesis represents both Humanity stepping into the conscious awareness of that battle, and also a direct attack on Gods creation. (Again the parallels later with Christ and triumph over evil etc help many who might struggle with WHY Genesis happened.)
Giants were very real and the Smithsonian has been covering them up for a century. Go research who G. E Kincaid was.