When it appears at the start of a sentence, don’t is a command - as opposed to its use mid-sentence, where it is more of a negation of a condition. Compare: <Don't love me> as opposed to <You don't love me> or <Don't do that> vs. <You don't do that>.
Of the <don't> songs in the Beatles' repertoire, it was "Why Don't We Do It in the Road" that got me started.
The “White Album” is quirky in a number of ways. Loudersound.com actually lists 50 things you need to know about it. Let me count a few. The minimalist cover was in itself a statement, particularly since it came on the heels of the rather gaudy cover to the Sgt Peppers album. Many of the songs were not recorded with all members of the band playing. Check out the link to loudersound for 48 more trivia about the album (I don’t want to appropriate their work, so click here)
Why Don’t We Do It in the Road (now there’s a title to test your knowledge of the rules of English capitalization!) seems to me to be quite representative of their mindset, again, in a number of ways. It is basically Paul and Ringo. The idea came to Paul in India, as did a number of the inspirations for the album. The “theme” (if said term is appropriate to a single line of lyrics) is as flippant as anything else on the album: Bungalow Bill, Rocky Raccoon, Warm Gun … It is also one of 2 songs on the album that have Don’t in the title. The song is an impressive example of how to expand something simple into something more: there is an argument to make about whether “it” could be more than what Paul saw that gave him the idea; there is the amusement that someone can “get away with” singing about “it”; there is the vocal expression that kinda culminates in the “from-the-soul” screaming line; there is the creative, abrupt ending
Other Beatles’ don’ts include
Don't let me down
Honey Don’t (Carl Perkins)
Don’t Bother Me (Them Beatles)
I Don’t Want to Spoil the Party (Acoustic Beatles Band)