Hello Joel,
I think the majority of your question were answered in the previous thread you started (check my latest response):
LMS7002M datasheet specifies the typical output power that can be expected with reasonable matching network - it does not state that higher values cannot be achieved (with proper or frequency selective designs).
The figure you added from the LMS7002M was obtained with a different board - hence different matching (blue graph was obtained with a TX matching optimized for 2.8GHz region). It just showcases that the typical value stated in the datasheet can be obtained with proper matching networks for specific applications.
Regards,
Karolis