I've thought on this as someone who travels between the US and Canada a lot, and the scene about the embezzlement scheme from
Office Space often comes to mind (the "Pennies for everyone" tray:
https://getyarn.io/yarn-clip/ea64c5fd-3c6d-46f9-b729-beef7b0...)
For me, it's not about the pennies I'm losing. You're right, I don't care about them and the end of their minting doesn't mean much to me at all. No, it's about who is getting the pennies I'm losing. Let's say Nestle, a company I loath, has a box of instant noodles for $0.99 USD. Our hypothetical noodles are very popular, so everyone in the US tends to buy them.
Suddenly, pennies go away. Nestle thinks "hmm, so our customers were already paying $0.99, might as well just bump the price up to $1.00, nobody will care." And they'd be correct. As a typical consumer, I'd pay $1.00 for something that I was just paying $0.99 for because the difference is negligible to me.
But if everyone in the US buys them for lunch, that's not a negligible difference to Nestle. That's nearly $3,500,000 USD in extra revenue that week. If the consumer behavior remains consistent, that's an extra $182,000,000 USD per year. Maybe that seems like small potatoes compared to what Nestle grosses annually on a global scale, but even the richest of companies can do A LOT with that much extra cash.
But of course, that is an extreme and overly simplified example. However, it illustrates the idea that while the individual will not really feel the change, the collectives or corporations will.
I'm not an economics expert by any stretch of the imagination, but one thing I'm fairly sure about is when something like this type of change happens, the corporations are unchallenged at finding ways to exploit it, which usually translates to more money going up to them and less coming back down to the individual.