The episode with Reynolds occurred after Chancellorsville but before Hooker resigned his command. I think that it's fair to say that Lincoln was testing the waters about a potential change in command. Reynolds was pretty clear that he didn't want the command but recommended Meade if Lincoln was to get rid of Hooker. In addition, both Sedgwick and Slocum also recommended Meade to Lincoln and states outright that they would be glad to serve under him despite their seniority.The documentary evidence that Lincoln actually offered Reynolds the command is very slim. It is based on a letter written by Reynols's sister in 1913: "He told us he had been with the President that day, and that Mr. Lincoln had offered him the command of the Army of the Potomac, which he told the President he would accept, if he was not interfered with from Washington. This the President would not promise him, therefore your Uncle declined the offer." Meade's much more contemporary account (quoted earlier): “He told me that being informed by a friend in Washington, that he was talked of for command of this army, he immediately went to the President and told him he did not want the command and would not take it.” While the sister's account states positively that Reynolds was offered command, the date of the letter, among other factors, at least cause some skepticism as to,it's accuracy. Meade's letter, in contrast, implies that a solid offer was not made, but that Reynolds went to see Lincoln to preempt a possible offer of command. Absent other evidence, I think there is at least room to doubt that Lincoln made an actual offer of command to Reynolds.