CW has good HKD setups, and both characters can nullify the others wakeups, but WW has much better HKD setups since she gets a crossover attempt as well, on top of that, if CW guesses wrong WW can get out and back to range, which she has more of. If WoWo guesses wrong on the first attempt, doesnt matter, she'll either be +2 and set herself up for either a backdash punish or a frame trap.
WW is just a better version of CW tbh.
Also, she's not designed to get ahead and stay ahead. She's designed to kill you once she makes you start guessing. It only takes 1 hit from a B2 to start up all her bullshit.
Other than that she's an all round solid character with no real weakness.
Her D3 isnt punishable by D1 cat claws anyway, blocked D3s can make D1s whiff within her B113 range, so thats not the way to respond really.