Which of the following is true regarding the origins of the office of the First Lord of the Treasury?

The office of the First Lord of the Treasury indeed has its origins that can be traced back to the early 12th century. This historical context reflects that the role began to take shape during a time when the financial administration of the royal household was becoming increasingly significant. The office evolved over the centuries, but its roots are linked to the need for efficient management of the state's finances, which were crucial for maintaining the monarchy and supporting governmental operations.

The role of the First Lord of the Treasury is considered one of the oldest cabinet positions in the United Kingdom, further emphasizing its historical significance. This role has transformed along with the political landscape, notably gaining prominence as the role of the Prime Minister became more established, especially in the 18th century and onward.

The other options do not accurately represent the historical context and development of the office, which further solidifies the correctness of the statement regarding its origins in the early 12th century.