System Manager logs are local to the machine on which it is installed. so the logs corresponding to the 2.0.1 will reside on the machine where 2.0.1 is installed.
AFAIK, there is no way to find out who exactly is using which version of System Manager to manage the controllers.
The only thing we can find out is which version was used to modify something using System Manager, that too via Autosupport logs ( provided autosuupport is enabled on the controller)
Regards,
Karthik