Can we come to some sort of middle ground with Trap Detection?

So I've found that the difference between having a great game and a shit game with Teemo in ARAM lies entirely on whether the other team gets Sweeper/Lightbringer or not. I understand that neither of these extremes are preferable, but I think we can do better than granting trap detection to someone 100% of the time. Here's an alternate idea I have.

-New active on Sweeper/Lightbringer: Something along the lines of "Grants Trap Detection for 10 seconds. 30 second cooldown." -Move the stealth detecting mist active to another item(s). -Rework the other numbers on Sweeper/Lightbringer to compensate.

I personally think that something like this would add some value to the counterplay of trap champions, without just providing a very binary counter that tends to shut them down rather easily.

Thoughts?