I don’t think there’s one set way in which abuse victims respond so some do not, but many do, yes. I know I did. The thing about abuse is that it’s fundamentally set in the idea that someone is denying someone else their humanity and the basic respect and care that humanity carries with it. A lot of people, no matter how strong they are, are going to struggle with that because it’s fundamentally about tearing someone down. Especially as a child I think being abused has a massive effect on you, and it can be hard to grow out of that mindset and believe anyone can actually want to be around you. Developing healthy communication skills, as well as developing a sense of what is okay and what isn’t in a healthy relationship, is vital I think, but it’s a slow progress for many. However, the good news is that there isn’t a race and there isn’t a deadline.
I for one am still struggling to develop a sense self-worth and some days are better than others. This blog helps, because at least I can speak my mind on it and talk about things I like that I’m afraid of chattering about IRL. It’s a step in learning to be assertive, as is learning to ask for what I need. I have a few friends I am finally in a place where I can be like “hey, I’m feeling insecure today. Can you x?” And I have friends who ask the same of me. Also, often when someone mistreats me I have a habit of blaming myself, but recently I’ve been trying to assert that it is not okay to treat me a certain way without being aggressive and attacking them back. Sometimes people respond well. Sometimes they don’t, because they’re used to me rolling over and being a carpet. That’s okay, even if they don’t respond well, because sometimes in the past I haven’t either. All I can control is my own self.
No abuse victim’s journey is the same, but tl;dr that’s a fairly common response. However, it’s not a life sentence to a lack of self-esteem and worth.

