Yeah af-s focus and recompose is sort of an antiquated technique that was utilized to accommodate an inherent weakness of DSLR focusing systems: the limited spread of AF points don't align with subjects that are framed according to the rule of thirds.
With Sony you have an AF system that is critically accurate when tracking, and able to track across the entire frame. So AF-C is the way to go.
I'll have give the godox AF light a try. Does it work is af-c or af-s only? IIRC with DSLR, focusing assist works in AF-S only.
The godox trigger will only emit a red focus beam in AF-S mode.
Over the years I've used "focus / recompose" since I can do that much faster than navigating a joystick. This is where with my mirrrored bodies I've had almost bullet proof success in never missing a shot during an event. This is because I have instant recompose and red focus assist gave me rock solid AF in extremely horrible light conditions.
With Sony I have to use AF lock in AF-C giving me versatility. If I use Sony's AF-S with the godox triggers red focus assist it'll be fine for static subject.
I still must experiment....