Support Trichotemy

I just noticed there are three kinds of support that work in a sort of "Rock Paper Scissors" type system, I think there are:

All-In Supports: This support has to get right into the fray and is rewarded when they do this, being able to do massive amounts CC for their carry to follow up on, these types of supports are countered by "Poke" supports due to the fact that they can make it too risky for an all-in by keeping the carry at constant low health. Examples: Leona, Blitzcrank, Annie, Alistar, Thresh, Nautilus, Braum

Poke: This support has long ranged, low cooldown abilities that can be used to damage the enemy carry to the point that an all-in from them would be suicide, these supports are countered by Sustain supports as they can keep the carry at a reasonable amount of health keeping an all-in viable. Examples would be Morgana, Janna, Brand, Fiddle, Lulu, Zyra

Sustain: This support revolves around protection, usually by healing, but occasionally by using shields or projectile blocking, generally allowing the carry to survive longer in fights. These are countered by all-in supports as sustain if often in small bursts. Examples Nami, Soraka, Sona, Braum.

Of course there are some overlaps, such as the fact Braum has Sustain tenancies despite the fact he's an all-in, but you have to look at what counters what.