There's something more about the dots and I think I kinda figured why FFXIV App is actually not able to track them down "properly", and instead doin a physical damage interpretation of.

Hint : a clue is in that sentence

Did anyone try to see if dots are hittin harder when you use a higher value of determination ? if yes its just a separated physical damage added to your attacks when you manage to land them when the dot(s) tick.