So, now we have to find THREE coins out of a miniscule mintage of 2000 to 2500 coins before we've got a complete set? Price pressure is going to be quite a bit stronger now.

If all three varieties have the same mintage, then that means there's only about 800 of each variety. If some varieties are rarer than others, which is likely, then whatever the rarest variety turns out to be, it probably has a mintage of less than 800.