Considering that RFID technology presents a significant growth in IIoT environments, industrial manufacturing is being one of the most benefited by this growth. As growth implies increased security risks, access control systems have emerged as an essential solution for IIoT environments and particularly in RFID systems. Considering Hyperledger Fabric Blockchain as a modular project oriented to environments with high level of performance in terms of speed and scalability, our manuscript proposes a performance analysis based on a methodological framework to demonstrate the viability of a comprehensive access control system which includes Identification, Authentication, Authorization and Accountability/Auditing based on the permissioned blockchain Hyperledger Fabric Blockchain. Our proposal promotes a novel approach to reliable data privacy, based on private data collection solution promoted by Hyperledger Fabric to implement the registration phase of our access control system. In this regard, the feasibility of using private data collection with respect to a private data local management solution is demonstrated. Finally, thanks to the modularity promoted by Hyperledger Fabric Blockchain, we define the optimal network model for our use case. To demonstrate these approaches, several experiments are conducted, based on a proposed methodological performance framework.