That experiment probably can't be run end-to-end because evolution took an enormous time to cook up our biochemistry from the primordial soup. I could also be completely wrong, and we learn that simplistic cells can arise on short timescales if there is no competition from existing life.

My thought was that if you just intentionally dumped the working components into the relevant areas, you would get a cell in short order - i.e. there's a combination of RNAzymes which must've existed on the transition from RNA-world to proteins, to DNA coding.

Basically: evolution trial and error'd, but it stands to reason that we could just sit there injecting the next step which worked each time.