I don't know, but they sound modern. The first has strings accompanying the piano with sort of a sound track theme so it seems to me, the second sounds like piano jazz with bass and soft percussion accompaniment like what was used for some Charlie Brown sound tracks.
I once asked this same question on some classical music forum and the only answers I got were similar to yours. These two pieces have a profound effect on me, so I'm surprised that they aren't the work of some notable composer.
How do you rate these two pieces? Mediocre?
I'd love to track down the original recordings, so that I could listen to them isolated from the docuмentary.
Mentioning Charlie Brown I think of the great Vince Guaraldi tune
Linus and Lucy: