If it is set to spot metering, even if you focus on the subject, and then recompose, the camera will meter the final position that the 'spot' AF selection point falls in. In both these cases, your center AF point would fall into deep shadow, so the flash would try to expose that shadow to mid gray. If your AF point falls on the subject, as the shutter is snapped, then you may have better results. If not, you may try evaluate metering instead of spot metering.
The other option is to Focus on the subject, and then before recomposing, set the exposure lock so the camera won't adjust for the recomposed frame for exposure.
Does this address the problem?
Godox/Flashpoint r2 system, plus some canon stuff.