See that's the thing... their "records" were basically pcitures/ comic books without any text on the account of not inventing an alphabet like the Phoenicians did or even inventing a syllabary like the Japs did.
Except that there's way more to the symbology and semasiography of Aztec codices than just 'comic books'. Just because they didn't faithfully emulate human speech in neatly ordered rows doesn't mean detailed information was not or cannot be encoded. Despite not using a purely glottographic system they were still able to recount history and narratives, record genealogies, store instructions and especially compile tribute data.
Furthermore, they did have standardized glyphs that
did have inherent phonetic elements; this property allowed scribes to combine glyphs to create ones for new words using the rebus principle, something that really came in handy when handling tributary provinces and altepetl.
Even the less noticable motifs and stylistic elements of the codices served a semantic purpose and were more than just aesthetic decorations. There's
definitely stuff there, it's just not in the format most are used to. Tlacaelel wouldn't have needed to burn clerical books if they weren't capable of contradicting the stuff in his planned political-religious reformation. The Aztec codices are incredibly valuable to historians and archaeologists as windows into pre-Hispanic culture and history and it would have been a travesty if they were all destroyed.
However, Anaxagoras may be confusing these books with Diego de Landa's deliberate destruction of Maya codices that
were truly glottographic. While there was almost definitely local destructions of some codices throughout Mexico, there was no organized book-burning for Aztec codices like there was in the Yucatan. The fate of a great many Aztec codices seems to be that they were simply lost, unfortunately.

. Wait, didn't the Aztecs have hieroglyphics? I think your confusing them with the Incas.
See above; they had ways of encoding a decent amount of information onto a 2-dimensional surface, and had both logograms and a few phonetic glyphs, but it's not a full-fledged 'writing' system of hieroglyphs like Mayan or Egyptian script.
So, the Aztecs could still build sailing ships without any wheel?
Of course. Why is this wholly unrelated technology a barrier?