All right, first I'd like to address the inconsistencies with your post in comparison to your op.gg. You say that you cant remember certain champs in your past 100 games, one of them being braum, when there was one supporting your team in a ranked game earlier today (you played nasus), and twice the enemy team had braum. The games where you were the adc, which seems to be your main, you had a janna, bard, and nautilus. Out of those, only 1 wasn't made specifically for the support role (nautilus). In all 4 of your ranked games, the support on your team bought a sightstone.
You mentioned the enemy ap support bursting you, so I'm assuming you mean the game that you played against a xerath support. There are a few things to say about this. First, xerath support is probably one of the worst AP champs to take to the lane. It will lose against any adc / support that know how to play the lane, hands down. How do i know? Because I've mained support, jungle and mid since season 2 and made it to plat as a support main on multiple accounts. back to xerath - His q slows him and is fairly easy to dodge, he has only 1 stun and a slow as far as utility, and he can only get off minimal damage before going oom. The exception to that being if he auto attacks you, but as draven you will easily out trade him. In any case, a xerath will NEVER 1 shot you, no matter which ability he uses. Building off your complaint about sightstone, why couldn't you call out to your jungler that bot wasn't warded? did you buy control wards to get rid of the enemy adc's trinket wards? Without any wards on the enemy side, you can use the brush 100% to your advantage without any downside. Bush camp. Anything.
As far as AP supports, I think they have a perfect niche in bot lane. There is definitely a tier list among them, with zyra, velkoz, morgana and brand being on the top, but making them completely negating their viability in the lane would alienate a huge portion of the player base, myself included. I love vel koz, and the 4 champs i just mentioned have been part of my support repertoire since each of their releases. I also play traditional supports, such as lulu, janna, thresh, bard, leona, etc. you know what counters ap casters bot? healers. The damage they put out cant stick. I've also been straight outskilled by enemy bot lanes, and jungle pressure is much harder to deal with as someone like brand or velkoz than if i were playing janna or lulu.
tl;dr You should easily beat a xerath support, ap mages have their place bot lane, you should work on your own skill bot lane and avoid blaming "op op op" for your losses. You'll never get better that way.
or something; Which, in a sense, removes your ability to take the game into your own hands and forces you to rely heavily on how good the random adc that you get paired with is and later in the game, how good the rest of your team is.
, vs wanting to play something like 
or
Support!
