I think this is a defense mechanism. I know from the past this doesn't work with BPD people, as it just makes them feel abandoned and therefore triggers undesirable behaviors.
Yeah, sounds like a defense for sure and I get it. It is hard when we know all the possibilities of what can happen. Can you think of anyway to turn that around and use it to your advantage though?
I feel nervous because I am imagining future negative encounters with them. They are retired now, and so I am worried they are going to start trying to visit me a lot and call more. Their requests to visit are slowly trickling in, they have probably asked 2 in the past two weeks, even though we already have an upcoming visit planned. They say "You know I am retired, so if you ever want me to come visit I can." I think, "Look, I will invite you when I want you to come! You don't need to tell me that!"
Can you use some of the replies Cat Familiar gave as examples and just modify them to sound more like you and reflect a calm yet strong and firm tone? Giving an angry, frustrated or exasperated response will only fuel the fire. You know this so how can we work with this?
I say work with this not for your parents, but for you. How do we get you feeling confident in setting boundaries consistent with your personal values while also protecting yourself. As you said, avoidance does not work... it only amplifies their behaviors. More importantly, it only amplifies your behaviors as well. Avoidance due to emotional upset is a pretty good indication that we are still enmeshed in some ways.
So how can we work on this? Let's brainstorm.