I personally don't care for either of those titles. I imagine they went with "Hey Jude" because of all the songs on the disc it's likely the most commercially well known.
Seems like this release would be a good one for someone who has never heard the Beatles, or hasn't listened to them much. It's certainly diverse.
Remember, The Beatles Again LP was released in February 1970. With no internet at that time, many of us weren't aware of The Beatles breaking up with the exception of those reading the various fan magazines. The initial name of the LP was a good marketing ploy. Even better was the name change to "Hey Jude" as this was the only way to hear the STEREO mix of Hey Jude. The song was recorded on the 8-Track studio recorder but the 45 from late 1968 was in MONO.
I was happy to buy The Beatles Again LP and hear Hey Jude in STEREO. I'm even happier today that I have the original pressing labeled The Beatles Again as it's somewhat of a rare find today. As far as the songs on the LP, I mostly listened to Hey Jude, Paperback Writer, Rain, and Lady Madonna.
In February 1970 we had no idea that there would be one more Beatles album released. Of course that LP was Let It Be. By then we all knew that the band was history.