After reading your comment, I did consider to implement that in my codebase and then I remembered that I have so few servers that it would not matter. Even if my company has to scale up to 99% of the market.
I suggest you do it anyway. It's a one line code or config change, yet if you do suffer the "stampeding herd" problem, it's hard to diagnose and hard to fix in the middle of another production outage.