Inserts (as per original):
Inner sleeve with a photo of Frank Zappa and (probably) Herb Cohen. The same photo appears on both side but each side has a different quotation.
One side has the following quotation (the First Amendment to the United States Constitution):
"Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof; or abridging the freedom of speech, or of the press; or the right of the people peaceably to assemble, and to petition the government for a redress of grievances."
I originally thought it unlikely that this was actually in the first vinyl release of this album as this is a quote I was more likely to attribute to the period around or just before 1985. In 1985 Zappa testified before the US Senate Commerce, Technology, and Transportation committee speaking against the Parents Music Resource Center (PMRC) a music censorship organization. His 1985 album Frank Zappa Meets the Mothers of Prevention addresses this topic.
Back to the inner sleeve. Apparently this was in fact found in this and a few other albums from this era (Uncle Meat for example).
The flip side of the cover contains the quote:
"We make records that are a little different. We present musical and sociological material which the important record companies would probably not allow you to hear. Just what the world needs ... another record company."
I guess this quote (I'm not sure who said it) refers to the creation of DiscReet Records as an offshot of the Warner Label. Herb Cohen (apparently pictured here with Zappa) created this label. Zappa and Cohen parted ways in around 1976 allegedly over a dispute about the profits from the label.
I certainly did not get this inner sleeve in my copy of Hot Rats - but mine is a cheap and nasty Australian single sleeve Reprise RS 6356 circa mid 1970s. More of this and other variations from the excellent Zappa Completist's Guide entry on Hot Rats.