Neither of Kris' coins are genuine Chinese coins. Only a few provinces issued tael coinage; the Empire considered issuing Empire-wide coinage with a design something like this but they never proceeded. I don't think any of the genuine pattern taels ever actually made it to China.
If you want further proof, pop them out of their 2x2s and weigh them. The "dollar" should weigh about 27 grams; the "tael" should be much heavier, at 37 grams. Typical imitation/fantasy copies like this rarely weigh much over 20 grams.
Don't say "infinitely" when you mean "very"; otherwise, you'll have no word left when you want to talk about something really infinite. - C. S. Lewis