I'm not even going to attempt to argue this, because I sense I'm simply going to be banging my head against the wall because you're going to be locked into semantics and obsessing over "unguided".
Convergent evolution, and history argue against you. C4 photosynthesis evolved independently 60 times. There's no guarantee it will, and I'm not arguing it will. However, the weight of evidence argues that if there's a readily available niche it is a matter of time.
If you argue I won't win the jackpot, you're likely right - in fact I'd put money on my probability of losing. However, if you argue no one will win the jackpot in the next 100 years you're an idiot.