Lucas is very celibate and this is indeed involuntary, but does he belong to that infamous community? He certainly shares characteristics with the usual talking points from incels, but the substance and verbiage of Lucas makes him distinct. Like every incel who actively posts somewhere online, Lucas is a seething mass of sexual frustration and unrealized dreams of romantic love. Yet Lucas lacks any sort of display of self loathing, he doesn’t dwell at all on his physical appearance, and doesn’t blame the genetic lottery for his current condition. Lucas also doesn’t break society down into terms like “Alpha” and “Beta” males, doesn’t use the “Chad” and “Stacy” terminology, and seems more or less oblivious to imageboard culture where contemporary incels originated.
Yet Lucas does share some important characteristics with modern Inceldom. Smoldering rage in response to a non-existant or lackluster love life is probably the biggest. Lucas isn’t a virgin and did actually have an exclusive and voluntary relationship with an adult woman who happened to be older than him, but the relationship ended messily with Lucas getting slammed with a Domestic Violence conviction. Lucas has a certain comfort with violence and it can play a role when he fantasizes about sexual conquests or gaining revenge against those who have done him wrong.
Not to put too fine a point on it, but Lucas is fucking retarded and is as dumb as he is fat. That said Lucas does possess a strong baseline for cunning behavior and he shows restraint when in the presence of adult men or other people with authority. Lucas will frequent places teenage females can be found and observe them from afar, yet the longer he lingers around young flesh the greater the chance he’ll attempt some kind of behavior that pushes social boundaries. Lucas has been banned from coffee shops, bars, parks, and even homeless shelters because of his behavior.
Misogyny plays a large role in Lucas’ antics, though he’ll claim the title of feminist. Lucas primarily speaks of women as sexual chattel with no meaningful agency, but unlike many incels Lucas hesitates often to lay the blame on women themselves for not succumbing to his sexual desires and instead tries to lay the blame at the feet of various other groups such as jealous young men, Republicans, Christians, other men of his generation or older “stealing” his “research” and using it to great effect. Other times he likes to blame social maladies such as general bigotry, classism, or agephobia, for creating an environment where women are encouraged to ignore him.
The important thing to realize here is that Lucas generally thinks that if young women were left to their own devices they would find Lucas not only attractive, but also witty and charming. Lucas cannot meaningfully conceive of a young woman who wouldn’t find him attractive at all and that if nature was somehow in control then he’d be breeding nubile teens for the rest of his days.
Much like Elliot Rodger Lucas Werner has the capacity for violence, consistently engages in escalating unacceptable behavior (Elliot started down his path of murder-suicide by throwing coffee and young couples in public places). Both men also share an overwhelming tendency for delusions of grandeur; Lucas loves to speculate that he is descended from royalty, that he will one day be wealthy due to inheritance, and that he belongs to some kind of elite class of enlightened human beings that are destined to shape the world. Elliot had similar views about himself though he was a bit more modest.
So to answer the question: Lucas is a sexual predator who represents a danger to women and he shares many characteristics with the most dangerous and unstable of infamous Incels, he doesn’t share in or otherwise participate in broader incel culture. He would reject any such comparison and would consider incels to be trumpanzee losers not worthy of his time.