Mordekaiser and Aatrox need to use their resource bars as actual resources not just effective health
Morde just gets way tankier just by dealing damage and doesn't have to think about his resource in the slightest
Aatrox has to constantly keep hurting himself so his attack speed is decent enough to do damage with, this is hardly resource management and is just a forced way to stop him from assassinating people
Morde's passive should empower his abilities like Renekton that could in turn be stopped just by hurting him, which would allow his empowered moves to be far stronger than anyone elses
Aatrox could use his passive as a form of a shield, store up health costs and use that stored hurt for a shield on autos.
Unlike Aatrox and Mordekaiser, Tryndamere actually uses his resource bar in a managing way. He either builds it up for a damage spike or uses it to heal himself, thus losing that spike.
Shyvana's bar is shit and is only a way to not give her an R CD, which really doesn't matter most of the time anyway.