Note: one very big general idea that emerges from the math that is not necessarily intuitive to everyone (or at least, you can't be sure that it's true without the math) is that when you apply a mixup the most important thing is not your BEST outcome but your WORST outcome. And this is COMPLETELY lost in Hates' version of the math. The reason why this is true (intuitively) is because your opponent is a sentient being, he will adjust his behavior to minimize how often you get your best outcome and maximize how often you get your worst outcome. So while TAS B is far far better on hit than BB, BB is way better on block: you are farther away so your opponent can't grab you as easily, you can step or reverse mix-up far more easily cause the frames are better, etc. Does that help your head Vincent? This kind of fits for you actually as we've played before and you almost never use TAS B, you use very simple very safe stuff almost constantly.
PS: what pops right out of what I wrote above is that people almost never duck against Soph because TAS B is such a good outcome, they will try to deny it to her constantly. If you play as Soph and just keep doing TAS B/grab 50/50's, people will just basically never duck, and then they will apply mixup after TAS B on block and eat you alive. I've definitely played Soph who used TAS B constantly (not in a good way, I mean they kept getting it blocked) and I think reading what I wrote above would help them understand where they are going wrong in a guideline sort of way.
PS: what pops right out of what I wrote above is that people almost never duck against Soph because TAS B is such a good outcome, they will try to deny it to her constantly. If you play as Soph and just keep doing TAS B/grab 50/50's, people will just basically never duck, and then they will apply mixup after TAS B on block and eat you alive. I've definitely played Soph who used TAS B constantly (not in a good way, I mean they kept getting it blocked) and I think reading what I wrote above would help them understand where they are going wrong in a guideline sort of way.