Are you sure that Mito's seal is red?
There is a reason for including a question mark in parenthesis . Mito's seal being red was only an assumption on my part because of a presumed correlation between Mito's red hair and Kurama's red chakra. It could be any colour.
The property that both Tsunade's and Sakura's (and Mito's I'm sure) is that they are containers of a vast pool of chakra.
That has no relation to the logic used to differentiate between the seals. Sakura, Tsunade, and Mito's circumstances were all different from each other. Mito was a jinchuuriki, Tsunade was a medical practitioner seeking to develop new restorative techniques, and Sakura wants to be able to fight alongside her teammates.
For this reason, I can see why people are merging the two seals as just one seal (yin). Besides possible coloring differences, what is the exact difference of the yin and Byakugou (white strength)?
Why don't you ask Kishi that via mail because at the moment none of us are certain on what exact differences, if any, there may be between the seals.
If Tsunade's yin seal makes it possible for her to use Byakugou-no-jutsu, Sakura's Byakugou seal should also give Sakura that ability. That is, if she had learned the Tsunade's jutsu.
If this is true then the conflicting names of the seals were misleading and completely useless. Unless Kishi selected to rename Tsunade's seal during P2 that is.