SF4 Chun Li’s LP Kikoken has a maximum range of approximately one full-screen distance. It’s just about gone by the time she catches up to it. (That restriction hurts.)
Chun Li’s HK Spinning Bird Kick deals outrageous amounts of damage, at the cost of atrocious startup and zero frame advantage. Ironically, these limitations aren’t severe enough.
It turns out that HK Spinning Bird Kick doesn’t travel fast enough to match LP Kikoken speed. When factoring in all nine impact freezes, it’s not a close race. That rules out using HK SBK to push the opponent backward into the fireball. Chun Li is airborne through most of SBK, so interrupting her with a conventional projectile is out of the question as well.
With the benefit of certain (rather elegant) setups, it may be possible to connect a small portion of HK Spinning Bird Kick ahead of her fireball – which of course permits her to recover and continue the combo. Some of these sequences wouldn’t even cost her any super meter.