I don't think anyone would expect to be able to get the suggested clock motor to do any real work, Bill.
As I mentioned earlier, there are many split-phase motors that are built/manufactured without start capacitors, which operate properly in their intended applications (low or no starting load).
Simply put, capacitor start split-phase motors have greater starting torque than an equivalent non-capacitor start, split-phase motor, for applications where a load is present at startup.
When most of us want to power a project machine, the main considerations are voltage, speed and motor output. For many, assuming that bigger is better, one could use 5HP motors for almost all of their shop machines.
I've encountered situations (powering small machines with spare motors) where an adequately sized motor wouldn't start occasionally, and by adding a suitably sized start capacitor to a non-capacitor start, split-phase motor would increase the starting torque to the point where the machine would start perfectly. That, to me, is an advantage, in that I didn't need to go find/buy a higher output motor. I suspect that many others would have assumed that the motor was inadequate, and gone looking for one with higher output.
This same example would be advantageous to a manufacturer, when specifying motors, to select capacitor start, split-phase motors for more starting torque instead of choosing a higher output motor (higher cost and weight, greater energy consumption etc).
I don't understand what you were trying to say with your last sentance.
The start winding dictates which direction a split-phase motor will spin up. I'm fairly certain that all of the split-phase motors I've enountered will
in either direction, except that some motors are only provided with a wiring tap for a single direction, but if one chose to start their split-phase motors manually (eliminating the start winding circuit altogether), the motors would operate equally well in either direction.
The capacitor(s) (start or run) in split-phase motors have nothing to do with rotational direction, according to anything I've read in motor books.