@Meddler/CertainlyT/etc. Should there ever be a resource that generates when you are hit?

I've been thinking on ideas for a "Hatred" resource, and one thought I had was that, along with perhaps constant slow regeneration or generation from attacking, this Hatred resource could generate either from being hit by basic attacks or generate more quickly when you are low on health. The latter, however, is too similar to Renekton, so I wanted to look at the former: generate resource when hit by attacks.

The first problem I see with such a style, however, is that it could induce "Irelia syndrome", in that damaging the Champion with this Hatred resource could actually put that Champion ahead of his/her opponent (just like if you get ahead of Irelia in health, she stuns you). The other is that generating the resource when healthy would undoubtedly be worse, leading to confusing management.

There's probably more to it, but I'd like to hear an expert opinion.