I’ll start:
One of my favorite chocolate bars is Twix. A typical pack contains two identical bars. A little while back they started selling packs that, while still containing two bars, claimed to contain “just left Twix” or “just right Twix”. The joke being, there’s no actual difference between a “left Twix” and a “right Twix”, so nothing has changed except the writing on the package.
Here’s the irrational part: Whenever possible, I buy Left Twix instead of Right Twix. For political reasons.