In 2003, Thomas Carbonneau wrote that "freedom of contract . . . Is at the very core of how the law regulates arbitration," and he referred to this as "Contract's Empire." I think Carbonneau is right and that, if anything, arbitration law has moved even further since then in the direction of contract.
Matthew Maragulia, The Continuing Pro-Arbitration Trend in India: A New Global Hub?, 8 Y.B. Arb. & Mediation 252 (2016).