As soon as something involves sex it is "extra offensive". Hence why they got removed.
Except what they represent is not solely sexual despite the impression their demonic model might give to some: "Desire demons use the yearnings of the victims - lust, wealth, power - to their advantage.Their abilities to affect the mind allow them to assume disguises and even alter the enviroment to their purpose. (...) While Desire demons may resort to an outright mind control, they seem to take greater pleasure in more subtle deceit".
Desire is: "a sense of longing or hoping for a person, object or outcome" but the desire demon model places an emphasis on desire being sexual desire. I'd argue that while I love the design, it puts too much an emphasis on one aspect which is why I feel a better representation and portrayal of what a desire demon is, is shapeshifting.
As an example: take Kitty from Origins' "The Stone Prisoner" - While Kitty was the case of a desire demon trapped in a form, it was a form that worked far better to help her endear herself to Amalia because it was that of a cat who promised companionship and friendship. The desire demon could exploit her form to better assume a personality that Amalia would trust.
Mouse from the Mage Origin similarly worked well because of his form and assumed personality: He appeared harmless and tried to strike a connection with the player by posing as a victim of the Harrowing and a fellow mage. While he is implied to be a Pride Demon, his example still holds well in my opinion because even if his motive was not the same, his modus of operandi fitted with how Desire Demons' modus of operandi supposedly is. His manipulations were more or less subtle and when he tried to influence how the player thought of the Circle and its Templars, it came across as making mostly sense because of who he claimed to be. By the end of the Harrowing dream, he tries to use the trust he believes he has built with the player to possess them, trying to make them believe they were strong enough to ressist actual posession.
The current desire demon model is very overt and actually sells them short because it primarily emphasises one aspect and depending on who it is attempting to entice, a form that might fail in a lot of situations. It would make little sense for it to assume a form that would cause alert in it's intended victims by presenting itself as clearly something supernatural. A desire demon that employs shapeshifting would work far better: a child could tug at heartstrings, a coward could appear harmless, a witty person could befriend. Each role could be played to gain trust and work subtle manipulations with.
If by "hence why they got removed", you are referring to the cancelled plotline in which after "Champions of the Just", a demon impersonates Leliana in an attempt to seduce the Inquisitor and manipulate them, I should note that the demon in question was the Envy Demon, not a Desire Demon.
Desire demons have not been removed from the lore and not from Inquisition since, despite his insistance, Imshael is classified as a desire demon according to the Wikipedia albeit one who identifies itself differently. As a note, that fits with that it is ancient and: "purpotedly one of the first demons to come in contact with human Magi." I would also like to note that Imshael also does not turn into a despair, envy or sloth demon so it is not the desire demon that was solely left out.
In addition: Dorian makes mention of a desire demon who he met and refers to with male pronouns which supports the idea that desire demons likely model themselves in accordance to what their intended victim is most comfortable with. Secondly, If speculation is correct then there is a pair of large sculptures which both has the appearance of a desire demon.
They've also appeared nine times in the previous games: four times in Origins and Awakening as well as five times in II so I would consider it well enough to focus a bit more on other demons especially the newly introduced ones who fit better with the emotions that would be invoked from what is happening in Inquisition.
TL:DR - Despite my actual love of the design itself, I feel it actually wrongly represents what a desire demon is suppose to be the manifestation of by associating it primarily with the definition of sexual desire and not the definition of desire. I also disagree with the notion that desire demons were removed from the game so I decided to write a smaller essay explaining why.
As a note: I should have worded my previous post a bit more politely.