Wow. I see so many installs like this which completely turns me off this material. Someone must be able to fabricate it well but I rarely see it. Even a showroom in town that sells it has horrible seams.

Your complaints have to do with the intrinsic nature of the material that you chose. Might as well gripe about the snake you pick up biting you. It’s a snake, what did you expect? You didn't do enough research about what you chose.

It is tile. Printed tile, like most. The print does not go all the way through. Of course you are going to get a line that shows the tile interior unless you miter every single thing that exists, with a multi thousand dollar upcharge. Even then, you will have areas that can’t be mitered with a pattern match.

That looks worse than the cheapest plastic laminate top I've ever seen. How can these guys sleep at night passing this off as acceptable? Epoxy paint? Are you kidding me?

" Is there a way to mute the color or sand the apoxy to at least take away the shine and minimize the pop of white?"

Try a fresh green Scotch Brite pad please. You certainly can't make it look any worse.

Go look at any tile. The pattern is only on the top. The cut edges will not have a pattern.

This is only the beginning. Edge chipping is the next failure. This product is not appropriate for counters, imo. It can be used for backsplash. Even if it is perfectly installed, it's a point in time.

Hopefully you did not pay this hack in full.