I am seeing the same issue as the original poster of this link:
Setting CC2650 TX Power - Bluetooth forum - Bluetooth®︎ - TI E2E support forums
The default power is 0dBm. I measure 5.5mA current draw (nearly matches the spec sheet). If I lower the value, I see the chip current drop accordingly during Tx. Setting the power level above this has no effect on the current draw. +5dBm should result in 9mA of draw.
These plots are all the same for any value above 0dBm. (This captures an advertisement)