My cat, Holly, never met a pen she didn't hate.
Before I retired, I was working from home and any pen I left on the desk, she would knock right onto the floor. Sometimes she would even try to knock it out of my hand when I was writing with it! When I sit on the couch doing a crossword puzzle, if I set the pen down beside me for any reason, she will knock it right onto the floor. She really gets mad if she sees a pen unattended. It would be different if she knocked it on the floor and then jumped down and played with it, but she doesn't. It seems like she wants every single pen out of her sight. Now!
I don't know what a pen ever did to her, but whatever it was, she's just not having it.
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She does like immediate attention when she wants it. I can't tell you how many times she laid on the keyboard when I was trying to type.
You just might be on to something there. Thanks! 
the only thing I can think of that would take Holly's attention away from your pens is a new baby kitty cat. Meow. 
