Updating MCP servers from a marketplace through Claude Code does not work

We have a company wide marketplace. Within this marketplace we have a plugin with 3 MCP servers. When users update the marketplace, there is no change.

Steps:

/plugin

Manage and uninstall plugins

<selected marketplace>

navigate down to 'Update now'

A message is shown:
Updated <....>. Restart Claude Code to apply changes.

Restarting Claude however does not result in an updated MCP server list. When you do /mcp, you see the old list.