"Power" was very sloppy language on my side. I was talking about the low voltage / high voltage difference that you get from transistors. A logical gate ultimately has a single output voltage based on its inputs. If its inputs are 1 and 1 (+5V and +5V), its output will be, say, 0 (0V), not "initially both 0 and 1, but later only 1 is chosen".
Similarly, a two bit adder is not going to have all 4 possible states internally or for some time - as soon as the input voltage is applied to its inputs, its output voltages will correspond to the single result (disregarding the analog signal propagation, which I assume is not what you were talking about).
Similarly, a conditional jump instruction will not be implented natively by computing both "branches". It will do a single computation to set the instruction pointer to the correct value (either current + 1 or destination). Now sure, speculative execution is a different matter, but that is extra hardware that was added late in the processor design process.
You can’t really conditionally compute something in hardware. The hard to do the computation exists and is wired up always.
The conditional jump is a great example actually. Typically this would be implemented by having one block compute PC+<instruction size> and another block compute the jump target and then choosing between the two using a mux