No, of course not.
1. The mint produces dies for every denomination separately. It means, that though there is chance to see similar images on coins of different denominations, in majority of cases, the difference between them is large. That is why it is not a good idea to cite dies of one denomination in the article of another in this particular case.
2. This article (
https://en.numista.com/catalogue/pieces1683.html) does not have any description of the dies. That is why it is worth to add it.
3. For the person, who introduced these notes in year distribution had something in his (her) mind, it is worth to describe his (her) ideas (vision) of the dies and their order in comment section.
4. If we can not find the right person, it is good for someone else to solve this riddle.
Note. Let us consider the die
II.
For example on the today's moment in 10 piso coinage (
https://en.numista.com/catalogue/pieces4519.html) the die
II was used in 2003 only. But in 1 piso (
https://en.numista.com/catalogue/pieces17107.html) it started in 2009 and works simultaneously with die
I till 2009 and with die
III from 2013. At the same time in 5 piso (
https://en.numista.com/catalogue/pieces1680.html) die
II got a partner die
III one year earlier, in 2012. So it is not so simple as it may look at the beginning. And it is expected to get more discoveries in this interesting emission. For example this scheme already recommends to have a close look on 1 piso 2012 and discover an expected die
III. And of course it is worth to examine all denominations of 2003 to find similar to 10 piso original dies.