I don't want to seem like I'm bursting your bubble, but the way you demonstrated the f3 meaty setup is wrong, and is not how it's actually used.
It's only supposed to be used off a bomb, short bomb, far bomb double bomb setup, and you use the f3 on a read of a delayed wakeup or wakeup tech roll/backdash.
If they delay wakeup the f3 pushes them onto the bomb which actually leaves you plus enough on block to guarantee a f4-saw as a guaranteed meaty blockstring, and with the exact same timing will punish wakeup tech roll/backdash with a full combo as the f3 catches it too and launches them, when using the correct timing for this f13 doesn't push them onto the bomb and you actually are fully punishable when they stand up lol.
It's just like any other cyrax oki attempt, you need to make the read first and then go with it, it's just handy having the F3 setup that actually covers two common options players go to to get off the ground at once.
There is space to use both, but F3 is FAR from bad. As it is super hard for an opponent to avoid after the right setup when timed correctly, and once respected actually opens a lot of doors for cyrax's oki.
I can provide a video if needed.