According to Howard F. Cline, "Chavero's most enduring claim to remembrance rests...on [his] completion and extension of Ramírez's plans to republish major native histories and his editorship of pictorial documents.

He supported the Mexican presidents Benito Juárez, Sebastián Lerdo de Tejada, Manuel González, and Porfirio Díaz in succession, notwithstanding their different policies.

"[3] At the 1902 International Congress of Americanists in New York, Chavero gave some credit to the French project headed by Joseph Florimond Loubat for major discoveries at Monte Albán.

This public declaration before the International Congress of Americanists, including those by Eduard Seler and Franz Boas, were interrupted by Leopoldo Batres, inspector national monuments and Chavero's rival.

Batres had excavated at Monte Albán and strenuously objected to Chavero's assertions, since the work was paid for by the Mexican government.