I'm colour-blind; I've never known exactly what type (for sure red/green).
I can tell the difference between original/filtered at that link for both protanopia and deutanopia, though they are close. Perhaps that means I have both/a mixture. (They're described there as being anomalous red vs. green cones, so it seems reasonable that I could have anomalous both.)
When it comes to 'colour-blind mode' settings I set my mild annoyance (could you not just pick a friendly default? It's not like I can't see any reds (for example) at all) aside and just pick whichever type is most visually pleasing or easily distinguishable.