You know that this is a Wound Rotor Induction Motor (WRIM) because the nameplate says it in an Induction motor right at the top, plus it shows the rotor current and voltage data. You are correct that the rotor current and voltage is induced by the stator, so it is not supplied by the source. But you need the data from the nameplate in order to design the resistor control circuit for it. Back when this was made, external resistance control was the only option available and you could not use the motor without that. Nowadays you have the option of shorting out the rotor and using a VFD instead. On a motor that old with an unknown history (ie probably not rewound for use with an inverter in mind), I would stick to resistance control. From the source current standpoint, you are correct in that you will just use the nameplate FLA data. The rotor current is irrelevant for this purpose.
If you have never encountered a WRIM before, designing the resistance control for them when the OEM system is not there for you to rebuild or copy is not something I would recommend trying to tackle on your own. It is complicated and requires a lot of engineering with regard to the load profile and duty cycles involved. This needs someone with specific experience in Ball Mill WRIM applications. There are integrators out there who specialize in mining equipment that the owner should engage with for that part of the project. They on the other hand, typically do NOT tackle the distribution source part of this (unless maybe if it was MV). So you wouldn’t lose the rest of the project to them (typically).
The only other type of “slip ring” motor would be a Synchronous motor, and in that case the word “induction” would not be on the nameplate, and it would have “Field” data instead of rotor data. From the outward physical appearance, especially on really old motors like this, they look very similar to the untrained eye. But the nameplate reveals all.