Old Evelynn could lane before EVEN after the nerfs due Mid Evelynn being a menace (E shifting to Physical Damage, DFG being removed) - and it was a nice off-meta role to play with.
Since she does have clear weakness that can be abused (making her lane still be a less-optimal pick than Jungle), adjusting Q cooldown on minions would also benefit the situations where she could help the team but can't - like holding a lane for a few seconds or clearing super minion waves.
As an old Evelynn player that played her on a lane a lot, that change would really make me happy.
We did this with Kayn recently too by letting his Q deal extra damage to monsters FWIW. His playrate isnt high (.3% or so, but 50% winrate) but it was low cost and for the people that enjoy it now they can be viable.