Not really. If it is understood to be binding, then that should be explicit in the first place. You said it was not specified either way when the referendum was granted.
Will of the people is irrelevant in the first place, and in the second place as well since the referendum was on "Leave or Remain", not any specific procedural sequence. How the state goes about it has no bearing on the will of the people via the referendum, nor vice versa.
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