I probably hold the record for most summoner kills with no key.
Farmed summoner + nilly for 4,5 hours, averaging 1 run between 1minute-1min30sec depending on how many wings I had to teleport to find the summoner.
So that's over 200 runs with an average run time of 75 seconds (with loading screens) and I got ZERO Hate keys, but 21 Destruction keys