Framer, that may be your experience but I don't think you can generalise.
The B737NG will fly that approach perfectly on automatics in LNAV/VNAV right down to 50' above the threshold. I do it regularly. I also hand fly it regularly - depends how I feel on the day. It's good to practice both, in my opinion.
Not all autoflight systems may be up to the task, however. Know your aircraft and it's limitations and abilities.