[PeaRidge]

Mr. x said: “The ships were sent to resupply the fort, not to ‘reinforce’ it, so far as I know.”

If you accept the validity of the “Official Records...” and Lincoln's statement of approval, then you see his order to reinforce. He said the same thing in his orders to go in to Pensacola the same day.

Here in Lincoln's words:

April 4, 1861
To: Lieut. Col. H.L. Scott, Aide de Camp

This will be handed to you by Captain G.V. Fox, an ex-officer of the Navy. He is charged by authority here, with the command of an expedition (under cover of certain ships of war) whose object is, to reinforce Fort Sumter.

[x]

Here in Lincoln's words:

Right, he signed it "Winfield Scott" because that was one of his many pseudonyms.

Resupplying or reprovisioning the fort would make it a stronger position, and therefore in a sense "reinforce" it.

Lincoln used the word "provision" in his own correspondence.