If part of CT's escape from PFL was a metaphorical escape from a patriarchal power while dedicating herself to emancipating one of the woman that man was exerting the most violent control over, the erasure of her in her boyfriend taking on her armor and thus her identity is a reminder of the pervasiveness of that patriarchal power and how even her attempts to assert herself and bring justice were overridden by what men wanted from her.
One of CT's only conversations with South comes right before she attempts to defect (pressured by her boyfriend to do so before she was ready) and South tells her women need to stick together. South is very much in the archetype of man hating, angry, masculine lesbian, intentionally put at odds with her twin brother to a point of stress so severe for her that she later allowed him to be killed. CT is the only character South is this friendly to- All of her interactions with the other women of the project are volatile and competitive. CT is not a threat to her position, she is the only person South feels able to reach out to without risking something of herself. South is intentionally pitted against everyone around her, except CT, who is incapable of reciprocating, because she's the first defector and cannot herself trust South to side with her. She's right about this- South being pitted against everyone means she sides with PFL during the crash battle.
So CT's interactions with men, like the other women of the project, are defined by control and expectation. She dies at the hands of a woman she means to save. She is unable to form relationships with other women because of the men around her expecting her to side with them instead. Hello. Is this thing on. Carolina's a lesbian too