> Is it required for Nahuatl nouns, like the Latin -t suffix?

I don't understand what you're thinking of here? Here are some Latin nouns, all in nominative case:

    nauta   (first declension)
    puer    (second)
    gladius (second)
    malum   (second)
    lex     (third)
    limen   (third)
    tempus  (third)
    virtus  (third)
    civitas (third)
    cornu   (fourth)
    manus   (fourth)
    res     (fifth)

I gave the nominative case, but in fact none of those nouns has any form ending in -t. The only -t suffix I know of in Latin is for third-person singular verbs.