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I though she was a full support valentine!
It's because her SA helps her prolong a fight by reviving dead allies. When she provides Final Stand as well, all too often they tag out, she ends up in the front row and you can kill her before the other two die, making her mostly useless.
Killing her allies before her is a mistake. When she has Trauma Center, it helps you avoid making this mistake.
ICU also has the potential to make a Valentine nigh-immortal, provided she's high enough level and the attacker has chosen their characters poorly.
I can see it going either way. This is worth exploring in the Kill Joy thread!