The real reason people are upset about the Taliyah changes
It isn't about how much damage she dose now or what casting method is "better", but instead about how she plays and how rewarding it felt to play as her. With the old W lockout Taliyah was forced to fully commit to a fight to get her W>E combo off by leading with E and then using W to hit people into it. This required the Taliyah player to sit and wait for the right moment to try to combo. It was like playing a waiting game where you were watching your opponent's every move waiting for them to take just a step to far for a cs before unloading your entire combo onto them, This made it feel immensely rewarding to land when it did connect. Thematically this made a ton of sense on Taliyah, matching both her in game role of a zone control mage and her lore as young girl struggling to control her powers.
Now Compare that to the new W without the lockout. The new casting method definitely made Taliyah alot easier to pick up and play, speeding up her combo and opening up the opportunity to cast W before casting E. This opens up her new combo to be throw out a W and if it looks like it will land then use the E. This feels more like the combo of a burst mage and less satisfying to land, plus it doesn't scream the lack of experience and control that the lockout on her old W did. It feels more like she is a master of her craft with no worries about controlling her power.
TLDR; The change was made to make Taltyah look and feel more flashy while not staying true to her character design and throwing what made her fun to play under a bus. But that's just like, my opinion man.
EDIT: I have a couple of ideas for changes that I think would fix the poblem.
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Revert the change completely, While some might not like the old the old casting method I felt it was very intuitive and easy to pick up. plus I think you should still be able to use it as just a knock up which you cant do with the new vector casting.
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Keep the vector casting but bring back the lockout. this would keep her original playstyle intact, but get rid of some of the "clunkiness" of old W casting.
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Keep the vector casting but put the lockout on E and only E while casting W. This keeps her combo and the rewarding feeling for hitting it intact but removing those awkward moments of not using Q because you pressed it before the W finished.
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same as 3, but with the old casting method instead of vector.