Removing that from the employee also removes the employee from responsibility for any breach of information IMO, and companies definitely don't want that lol. What they do want is users to stop complaining about the annoying reauth every 8-12 hours for a dozen services which this does.
The kinds of wishlists I hear are more about users managing fine-grain service permissions for various agentic roles and managing which agents have access to which role, which leans the other direction. They want to allow users are to treat agents like cloud services and have a greater responsibility for applying least privilege, justify leak risks, etc. The onus to protect this data will always be an employee responsibility in the end.
What this gives your employer is the allow list of AI agents that you can use (the ones that can use your employer's IDP to access downstream MCP servers) and filters out all the MCP servers that do not implement this protocol. Essentially the threshold to use any AI agent or any MCP server would be a lot higher.