That could add to it of course. Mainly I think it could be an option because Ivy is always involved and always fails to get hired by the Wildcats. She has something to prove now and we've seen that while she's enthusiastic about involving Lena, she's also been careful not to let Lena get too close with Billy on a personal level specifically.
Billy as a whole however is also optional so it's equally likely that Eva won't bother doing anything that changes Ivy and Lena's relationship too significantly when it would be optional and therefore add a narrative branch to account for.
Pity though, it'd be interesting with how Holly, Jeremy, Mike and soon Ian intersect between the two of them.