Can you point out which part of that disagrees? Because unless I'm missing something, none of that goes against what I stated. A Buddhist figure does not mean it has to be buddha, just like a Christian figure is not necessarily christ. and if I'm reading/understanding the Maitreya part correctly, that's referring to a separate bodhisattva then Siddhartha, indicating that they would in fact be a separate person.
From the link you shared, it also directly references Bodai:
"Based on an eccentric Chinese Ch'an monk from the 9th century, the laughing Buddha has become an inseparable and significant part of
Buddhism. He was a native of Fenghua in China, and his Buddhist name was
Qieci. He was always taken as a man of loving and cheerful character"