The issue with Tina's neutral game is that every other character has at least one strength or solid option, even the characters with bad neutral games. Tina doesn't have any solid options; she's slow, short ranged, has little advantage on block, her OHs suck, her crushes are limited. Every one of Tina's options is basically stuffed by pushing buttons.
Plenty of characters can go for risky options, or have limited options, but Tina has no real options; it's a complete guess because nothing she does limits the opponent's choices. That's why I brought up paper, rock, scissors, there's no real strength to any of them because they're all equal (equally bad, in Tina's case).
An unbalanced choice doesn't mean you pick the strongest option all the time, but it means that your actions are weighted by likelihood, and that means a read, not a guess.
I think you misunderstand though. I'm not advocating that Tina has a good neutral game; her damage output would be OP if she was good at getting in. I'm simply stating she needs any neutral game. Something that means she properly interacts with other characters and therefore steps away from rolling a dice and into actual strategy. Even the characters with bad neutral games have more involvement than Tina.
For example, with Nyotengu, her neutral game is pretty bad; she's slow, and has way too much reliance on highs, with her Dance of Hiten only being available on hit, not block. Despite her awesome frame advantage on hit and colossal reach, (and a faster OH than Tina!) she struggles in the neutral game. Thing is, she has some solid options. Because these exist, the threat of them will affect her opponent's options, and she can make an educated read in a neutral game situation. She's at a disadvantage, sure, but her out is through strategy, not blind luck.
As for liking Tina for the 'thrill' of guessing right and landing an unlikely move, it's a little irrelevant; this option remains available to every character. Everyone has some stupid move that's a hail mary, that feels awesome when it lands against all logic, Tina doesn't need to remain min-maxed to keep that. The Shining Wizard is actually a solid mixup though (if you can actually get your opponent off you to start a run). You want satisfying, land an aborted Hammer JOS/Sky Twister Press into a Dragon Suplex/Reverse MDT. Now that's a much more unlikely situation, and so much more awesome.