The author's intent in his description of the conflict between the Lilliputians and the Blefuscudians in the fourth chapter involved connecting them to the French Catholics and the British Protestants.

Explanation:

After Lilliput's Secretary of private affairs pays a visit to Gulliver, he explains the conflict between the people of Lilliput and the Blefuscudians.
The conflict started between the two over the religious question of egg-breaking depicts the long series of wars between Catholic France and Protestant England.
He states the differences in the communion of the Catholic and Anglican churches and that the war started when the Blefuscudian people put down the religious beliefs of the Lilliput.
Swift emphasizes the contrast between Gulliver's naive acceptance and physical facts.
He also relates the folly of the religious war between the two to immediate European politics by talking about The High heels and The low heels of Lilliput.