Supports don't take ignite because someone else takes Exhaust. They take it for kill pressure in lane to help snowball their adc.
I'm just saying tying it to items that the support is mainly buying or a new item for supports isn't a good idea. It's mainly what has happened with Sightstone as vision is so important and they taked it onto a combat ineffective item so might as well make the low income role take it since you need to save your money on carries and tanks for combat stats. I haven't encountered someone who doesn't seem to think that Sightstone is a must have for supports.
As for 'all the time', it was Lee Sin commonly because he can ward hop. It wasn't in the interest of vision, but mobility. Otherwise he would not have bought Sightstone. As for 'the warding option' yes, they made a sightstone item into a jungle item which is fantastic imo since the best person to ward is the person commonly running around everywhere already for their role and not someone locked into a corner of the map for a good portion of it. Yes roaming is a thing, but you spend less time than the jungler early running around especially in low elo. Unless you are suggesting the OP was also talking about
when he said support item, then it's not really relevant since we're talking about Support itemization that would further lock in what a support needs to build and have.
As for supports usually taking Exhaust, I didn't say they take it 100% of the time currently. In fact the contextual clues that I was giving suggests that you take Ignite sometimes now which would mean Exhaust != 100%.
The issue is mainly of choice. Nerfing the cooldown so it's only attractive to one role would potentially make Exhaust be another 'must have' for supports. While yes, Vision is max importance in LoL. Sightstone is still an unrewarding thing to buy. Got a sweet double assist bot lane? Nice, come back to lane at the exact same power as before +150 hp. Supports that don't take SIghtstone are usually flamed which is an unappealing situation that I know has caused several supports to stop playing the role because who needs to invite it. I'm not sure if you're a fan of autofill or not, but the lack of supports is one of the reasons we are stuck with it.
Having another potentially (dependent on the nerf numbers, and items impacted) must have item (if it's not stapled onto Sightstone which god help me if they increase the cost of it for that) that will potentially add more itemization that feels unrewarding to buy may lead to more supports not playing. That isn't for sure, but it's an outcome that I can see happening which I don't think is worth the risk.