FK>FP Raida - 46
FK>ES Tsumuji - 50 damage
toward+FK>FK>ES Tsumuji - 58 damage
The stun appears the same, maybe one or two pixles more or less between the two.
The toward+FK>FK>ES Tsumuji does significantly more stun, damage, and can’t be followed up with a Raida in place of the ES Tsumuji (only the Tsumuji will connect, Raida will wiff).
Both Raida and ES Tsumuji cause knockdown, and both send the opponent flying across the screen. The opponent can quick-stand after an ES Tsumuji, but not from a Raida. However, Ibuki recovers from a Raida much slower than an ES Tsumuji.
The ES Tsumuji looks much safer when blocked, than a Raida.
In the corner, she can walk up to the opponent before they recover in both situations.
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Against crouching opponents:
FK>FP Raida - 51
FK>RH Tsumuji - 58
FK>ES Tsumuji - 62 damage
toward+FK>FK>ES Tsumuji - 72 damage
The RH Tsumuji appears to do less stun than the Raida and the ES Tsumuji. The difference of 11 damage is about half the damage of a normal throw, or about the same damage as a far standing strong punch. The stun still appears about the same between the Raida and ES Tsumuji.
Again, the toward+FK>FK>ES Tsumuji does significantly more stun, damage, and can’t be followed up by a Raida.
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JP>SP(1hit)>FP>Raida - 46 damage
JP>SP(1hit)>FP>ES Kubi Ori - 47 damage
The ES Kubi Ori appears to do a few pixles of stun more than the Raida. Nothing too significant, though.
BTW, if you’re wondering about the damage numbers: this is all tested on Akuma (Gouki) in training mode on default damage/diffaculty.