Definitely not related.
The difficulty in placing or acquiring protection, i.e. carrots instead of p-bolts (await flame), has the potential to increase danger on easy routes just as much as difficult ones.
A smart bloke I know said that good climbers don’t damage themselves on hard routes, they die on easy ones where they don’t take the necessary precautions – falling down a flight of stairs sans protection can be pretty nasty if you ask me.