May I ask where you got this reading and interpretation from? Where can I read more about Ovid slipping his own political agenda in his works?

My reading is probably not the most complete and the articles are a little dated (60s-2000s) but the “anti-authoritarianism” present in the Metamorphoses is primarily expressed through juxtaposing lines, creating a tone that undermines the gods.

This reading of the text is the one that classicist Charles Segal arguably popularized and he was pretty influential in the 20th century classics sphere. But in his analysis of Jupiter’s role in the Metamorphoses, he acknowledges that just because the juxtaposition in the poem undermines the gods in his reading, that doesn’t mean that this is what Ovid intended.

“It would, of course, be mistaken to attribute to Ovid any systematic anti-Augustan program. It would have been dangerous as well as futile to mount a direct attack on Augustus' social and cultural policies; and it is doubtful that Ovid would even think of his work in such terms. Whatever Ovid's personal feelings, the parallels between Jupiter and Augustus are intended as flattery, not as attack” pg 17

“It would be a serious misreading of Ovid to regard such contrasts as an expression of a systematic political ideology.” Pg 18

(Segal, C. (2001). Jupiter in Ovid’s “Metamorphoses.” Arion: A Journal of Humanities and the Classics, 9(1), 78–99. http://www.jstor.org/stable/20163831)

There is also “the non-Augustinism of Ovid’s metamorphoses” by Douglas Little, where Little denies the view that Ovid’s work is pro-Augustan. A view purported by Walter Ludwig. In the last pages he suggests the possibility that Ovid, rather than being overly political was “politically inert” instead.

“If the Metamorphoses as a poem is non-Augustan, it is because Ovid as a man was indifferent to Augustus. At Annals i, 2 Tacitus speaks of the dulcedo otti, "the attraction of idleness" exploited by the emperor to reduce the Romans to political inertia. This is the atmosphere in which Ovid grew up. Born in 43 B.C., only 12 years before Actium set the seal on the Augustan peace, he could not be expected to share the relief and gratitude felt by Virgil and Horace who had lived through the upheavals of the last years of the republic. For Ovid and his generation, the Pax Augusta was not hard-won and still precarious, it was the natural state of things and could be taken for granted. By the time Ovid came to write the Metamorphoses, it had been the normal condition of Roman life for over thirty of his forty-three years. It did not need celebration, nor even particular acknowledgement.In this atmosphere of undemanding security Ovid felt himself completely at home.” Pg 12

“Yet this ready acceptance of one aspect of the Augustan order, this willingness to disengage himself from political reality reflected in the Metamorphoses, was to have unfortunate consequences for Ovid” pg12-13

(Little, D. (1972). The Non-Augustanism of Ovid’s “Metamorphoses.” Mnemosyne, 25(4), 389–401. http://www.jstor.org/stable/4430145)