The thing about the Doom and Lady Loki stuff is that that wasn't the genderfluid Loki we all know and love. That was Old Loki, who was a male, who was using a woman's body partially because he could use it to seduce and confuse men. It was basically a classic trap, something which today would be a rather offensive storyline but which here, ironically, helped give us our current Loki who is genderfluid.
Now, Doom didn't just go on a cute date with Lady Loki, he also had a fantasy where he took Emma Frost and Lady Loki as sex slaves for him and his BFF Namor to have their way with.
He also had a basement full of Loki clones who he was abusing and experimenting on.
We also have a panel from Magneto where Doom and Mangetonare talking and Loki is sitting back looking like Doom's bored girlfriend.