This is just wrong, the following procedure would be much more convincing than a RCT:
Decide what you are measuring, collect group of people A, measure it, give people placebo, measure it again, record results. Then repeat under different circumstances with a different group of people B. Maybe even go back and do A again. Are you getting consistent measurements? Good.
Now come up with an explanation for why the results have that distribution, sources of variation, etc. Use that to quantitatively predict what should be seen a new group of people C. Now go check group C. Did it match the predictions? If so, good, keep at it.
Make a prediction for group D. Do the group D results match? If so, you are probably interpreting the results right.