Very good examples. The mints are allowed to be lazy on the fiat because they are able to exploit people's gullibility in believing the "lead into gold" propaganda that tries to turn "fiat into coin". The reality is "fiat" can never be turned into "coin", because fiat is literally meaningless by definition. That is why profits are easier for collectors to get when they buy non-fiat coins.
A simple way to understand how that works is to recognize that fiat is the ultimate bubble. When millions of people start paying high prices for a dotcom stock solely because it's a dotcom, that's when you can easily see there is no support, and without support, what goes up must come down. People are paying ridiculous prices for a fiat coin just because it's a fiat coin. Popularity may be the only coin investing fundamental that can beat rarity, but popularity can disappear in heartbeat.
Rarity is a much more reliable way to judge investment potential, but you have to understand both rarity and popularity to become a smart coin investor. If the popularity is stemming from something that isn't likely to change, like the high quality of the artwork, it's fairly obvious that the popularity isn't going to vaporize overnight. Fiat, on the other hand...popularity for that could go at any moment, just as soon as people wise up to the whole "lead into gold" magic the fiat-pushers are trying to convince you they can do. They will never be able to turn lead into gold, and they will never be able to turn fiat into coin either.
It doesn't matter how impressive the tricks are. It's just an entertaining deception, like any other stage magician. Anybody who believes the alchemists can really do magic is wrong, and they'll end up dying after drinking the mercury potion for eternal life, just like the Emperor did!
https://en.wikipedia.org/wiki/Qin_Shi_Huang