Inconsistencies do exist in Vespucci’s letters
Aside from his exaggerated role, Vespucci's astronomical observations and large distances traveled records can be confusingly inconsistent at times. During the 1497 Expedition, for example, he recorded trekking approximately 5000 kilometers northwest of Honduras. They couldn't have walked that far since it would have taken them across Mexico and into the Pacific Ocean.
During the 1501 Expedition, he also made another discrepancy. He said that they turned back to Europe after reaching 32 degrees south latitude. Cross-referencing other accounts on the voyage, however, shows that they actually turned back about 25 degrees south.