Types of Supports and Thier adjacent ADC's

I've been curiously poking my head through bot lane and seen that there a set groups of supports rather than each on being different, so I go to thinking and wondered how the LOL community thinks of these groups and what adcs work well with them. Of course there are also adcs who fail to work well with these supports or counter these types in lane. To me supports are divided into 3 overall groups and then again further divide amongst these groups. Generally the supports are The Healers, champs like and , are the champs I like to consider healers. They usually take the tree as their gold giving item, Then there are the AP Pokes, such as and , These champs usually are there to control the lane and let the ADC farm safely while they keep the opponents at bay with their spells and get 's tree as their gold earning item, The last group consist of the Tanks with the likes of and , Tanks often lack the safety of poking but make up for it with diving in on weak teams and taking the blows of the ADC, the item they usually get is to give them money and help heal the ADC. From there we can further divide these groups into Disables, Pulls and Buffs. Of course there are champs with all three but there are also supports that only focus a single one. Disables are champions that can shut down the enemy by stunning, silencing or even polymorphing them. They also have slows, roots and blinds. Pulls are not necessarily and . Pulls are champions that can force an enemy to come closer to a danger zone. Champions that can keep them there are even better. Then buffs are champions that boost their ADC's damage output or survivability one way or another. It can be Nami's traveling heal or Leona's passive, but somehow the ADC is hitting harder or living longer. Thats how I divide up the supports and how I end up building them but my question is who's best with who? With pulls is Jinx's beartrap better or is better to have a way to engage on the enemy champ if your a little whiles off such as Ezreal's flash?

I Want to know your opinion on the topic and if you disagree or agree with anything I said.