Parody, Satire or Straight?

I saw this blog entry at Legal Insurrection. It points out the efforts of a group called Citizens for Sanity. The ad below ran in the Providence Journal. After due consideration I find I must disagree with the blog. This is not an example of parody. I would characterize it as satire. I have provided the definitions of both terms below. You decide.
https://legalinsurrection.com/2022/09/progressive-or-parody-citizens-for-sanity-marthas-vinyard-migrant-ad/

A fine line between satire and the actual views of those targeted.

noun, plural par·o·dies.

a humorous or satirical imitation of a serious piece of literature or writing: his hilarious parody of Hamlet’s soliloquy.

the genre of literary composition represented by such imitations.

a burlesque imitation of a musical composition.

any humorous, satirical, or burlesque imitation, as of a person, event, etc.

Dictionary.com

satire

noun

the use of irony, sarcasm, ridicule, or the like, to expose, denounce, or deride the folly or corruption of institutions, people, or social structures: The success of the production stems from its balance of affectionate comedy and well-observed satire.

a work of art, literature, or entertainment in which the folly and corruption of human beings, institutions, or social structures are exposed, denounced, or ridiculed: The skit offended only those who didn’t recognize it as a political satire. Did you notice that all the novels on her bookshelf were satires?

a genre of literature, art, or entertainment comprising such works: The eighteenth century is considered British literature’s golden age of satire.

Dictionary.com

Like the Gershwin song performed by Louis Armstrong and Ella Fitzgerald, ” you say to-may-to /təˈmeɪtə/ / And I like to-mah-to /təˈmɑːtə/” There may be little difference in the distinction. The mark of great satire is that there is an underlying factual basis. Had the pranksters included a caveat that those wetbacks who show up with their own rake, lawn mower or vacuum cleaner would be allowed to stay, the whole thing would seem straight to me.

The only difference between the KKK and a liberal is in the clothes they wear.