FWIW Akali's total P+Q+E damage at a high level is ~900. That's maybe high, but requires the dance around using the passive and landing the E skillshot + taking it in. Of course she has more Q+P gameplay from there, but I'm just writing out the initial numbers.
By comparison Syndra (the only other champion I spot-checked here) has 700 total damage on her non-ultimate kit. As soon as Syndra hits more than one target with a single ability, though, her total P+Q+W+E damage is higher.
As far as base damages vs ratios, Akali's P and Q are both in the ~325 range for AP to double damage. This is pretty standard across AP champions. E is ~445, which is a bit heavy but not extremely so. Syndra's AP to double is 323, 328, 441 for Q/W/E. Higher means worse AP ratios and thus a tendency to build tank.
So I don't think the tank Akali problem is a function of tuning only. She has similar damage and scaling to a traditional mage. If anything, this feels more to me like she...
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