IUD with Diva Cup

Might be a dumb question, but I’m on my second IUD.

The first one was the copper Paragard. I had that for two years, but had to have it removed when the doctor saw it was falling out.

A few months ago I had a hormonal Mirena IUD inserted, and I was wondering if the suction of pulling out my Diva Cup can cause the IUD to be pulled out of place?

It’s probably just my paranoia with having another failed IUD, but I would appreciate opinions/advice, nonetheless!

Thanks!