As someone from a family full of undiagnosed mood disorders (many of which, shockingly, affected parenting!)... I think a person who has actually put in some serious work on their issues, knows those issues will affect having kids, and is willing to plan ahead and consider the problems in advance is much more likely to make a good parent than most of the people I know who went ahead and had kids without any self-examination at all.

Also the idea that some section of the populace should be marked as Too Tainted To Reproduce is disgusting eugenicist bullshit we should not entertain. The fact that LW's boyfriend is ready and willing to put LW in that category is grounds for breakup, IMO.