Over-Optimization vs. Random Entries?

Would a coin-flip entry with strict risk rules beat a strategy with 10 technical indicators?

If you flip a coin for entry (heads = buy, tails = sell) but strictly enforce a 1:2 Risk-to-Reward and a 1% daily cap, can you outrun a trader who spends 4 hours analyzing Fibonacci levels and RSI divergence? What actually drives profit—the entry or the exit?