Setting Min Simulation Frame rate and physics scene Time Steps Per Second to the same number will make sure that only one step for physics is done with every update that physics get.
If you want to have all the simulations steps done every frame, then you should set the Min Simulation Frame rate to 1.
This way nothing gets discarded and physics will do enough substeps based on the wall time provided by the update.
In case of a movie capture that should be fixed time 1/60 if fps is used. In which case physics would do 10 substeps, with each step at 1/600.
Movie capture will just make sure that the frame update time is fixed (1/60 or 1/24), but physics simulation should step based on the stepping defined by Min Simulation Frame Rate and the Time Steps Per Second on a physics scene.
So you are saying the behaviour between Movie capture and regular simulation (play) does differ?