MatthewMa: no doubt about Swamperbob's wisdom, that's why I consider him as a my Maestro in our community.
Swamperbob:
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1. As I understand it, the punch used for the YII and F7 counterstamps was a HAND HELD puncheon - it was NOT mounted in a screw press that would have kept the punch perpendicular to the coin or subsurface. The impression was made as a sharp "heavy blow" and NOT as a slow high pressure compression. Can you confirm this belief?
Yes it's true by the process of what we call "Golpe-de-Martillo"
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2. While many collectors might assume the punch to be flat - I would presume that the punch was slightly convex (the center of the punch making first contact to allow the center of the design to strike up well. Can you also confirm that as fact?
Again Bob we also coincide with this presumption of a slightly convex punch.
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3. A flat punch, a concave punch, and a convex punch all make different appearing distortions on the opposite side of the coin.....
An answer to a concave punch would have a concave effect like this which most of us consider as counterfeit

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4. You indicated a wooden surface was used to strike against. I find this to be odd - I would have expected a less resilient surface like steel. The effect of using a wooden surface COULD alter the impression on the reverse of the coin. A surface that gives - like wood - can dissipate the force of the impact and alter the way the surface appears. My studies of punch impacts have always involved using a flat steel plate because the results should be far more consistent.
On this question, I am only assuming the Iron Wood (we call it Tindalo) maybe used during that time because of the results on the inconsistent shapes of different CS coins. Most coins are having convex shapes, while others are almost flat. Just my wild guess with regards to Iron Wood.
TwoKopeiki: I just went to the website (about MT Talers)you mentioned, and its very informative and super-nice site. I noticed some differences in the CS coin being discussed against all the sample pictures. The website shows 1815-30 and 1830-40 having a rarity grade of 1 (extremely rare). I have compared its pictures below


I became more curious on the serifs more particularly letter "R". They do not coincide.
If the CS coin being discussed is indeed an original having a rarity grade of 1, then it is much rarer because of its Countermark.
However if the said coin is proven to be a restrike on or later than 1835, then our country - the Philippines is definitely in big trouble on our Counterstamped coins. This is for the reason that the YII countermark being discussed does have all the qualities of a perfect 5-4-1 pearl formation stamped on a later date host coin.
Having this scenario at hand, it is really confusing...