"Is it possible to make repeated mistakes with these girls and still have them come back? (like the same thing over and over again?) that would be awsome. their mental state from your view tells me yes."
If the mistake was chasing her trying to figure out what went wrong when she coldly ends the relationship I'd say this usually ends it for good as they get the validation that you absolutely love and want them.
Then they can feel free to deny your love much like their parents denied loving them when they were a baby.
Of course they don't consciously understand this is why they don't let you back into their lives, they just get extremely unattracted and disgusted towards you but therapy almost always reveals the disdain for you was a result of issues with their parents and they then feel absolutely awful about the way they acted towards you, it makes them cry for days, genuine tears this time and they hurt so incredibly badly. I know this because I found it out from an HPD I talked with who was considering therapy and wanted my opinion on whether she should go forward with it or not. I told her she wanted to do this and only needed someone to verify it was a good decision and said I approved so she went and felt horrible but also she began to find out who she really was so it was all worth it despite the horrible pain and remorse that she felt over what the disorder had influenced her to do throughout the course of her life.
Succesful therapy also lets them become close to being normal people and they view all of their past interactions as extremely self destructive and can now tell the predatory men from the men that really loved them but since the guys that really loved them tended to be sick themselves via co-dependancy the recovering AW isn't likely to go back to any of them because she would now want to have a healthy relationship with someone for a change of pace.
Clean slate as it were.
Anyway something else I want to say about the guys that chase them...
Its a long shot but if that guy eventually stops chasing them for whatever reason and goes years of no contact and then suddenly re-appears on her radar ie she sees him out and about happy as can be looking successful with a new and hotter chick under his arm this may make her want him again because there is new life in his eyes and new challenge to conquer and vampire off of as well a need to get her validation back from you now that you are a new man.
Many of them might not get this need but there are some AW who I think would.
So could you despite making mistakes this large or even small with them win them back at some point?
I'd say its possible but you'd have to be very patient and be in the right place at the right time.
Which is why DJ's just encourage you forget about such a chick and focus your time on attracting healthy women rather than wait and plot to win back an AW who can never give you what you want (outside of sex) from her anyway ie love, affection and a real relationship basically.
You will never get a real relationship from an AW based on trust and mutual respect.
As long as she is unrecovered she will be a danger to your mental health.
Even to guys that make a decision to cut off their emotions towards them the AW have a way of getting to you over time.
In truth only sociopaths the most dangerous of Cluster B or Narcissists the second most dangerous are truly qualified to handle and have an AW since they have no emotions at all and simply focus on winning the game and doing it better than an HPD or BPD ever could.