No and yes. Of course it is not your fault if the other person is an abuser. It is at least partly your fault if this is your third long term relationship with an abuser.

You point out later in your (excellent) article that you need to learn from your past experience. Many people skip that part of the process.

If - for an example that is purely hypothetical and definitely NOT no way uh-uh what I experienced(!) - you grow up with parents in a semi-toxic relationship - you will most likely repeat that pattern. You'll pick out a partner that matches one of your parents, and you will take the other role. Eventually, you realize you're unhappy, get out of the relationship, then pick out a similar partner for the next (soon-to-be-failed) relationship. Until you learn from your (bad) experience(s).