No. You're talking about the neutral case. I own no specialist plumbing tools, but as I'm not a plumber, it doesn't bother me either way.

I'm talking about the two other cases - I must own X to be in state Y, or I must not have X to be in state Y.

People set themselves up all sorts of artificial success milestones with stuff like this that are just as ineffective on either end of the scale.

My own anecdote. I had a TV, I decided it was a distraction and owning it distressed me enough that I gave it away. I now own a TV again, it's dusty and gets used once a month. Nothing inherently different about the TV in this case, I just matured enough to be able to balance and manage my time better, so now there's no particular attachment (in the case of the TV) to having it there or not.