Maybe I am misinterpreting the point, but for me this is one of the basic lessons of album-oriented listening. I just got done with a very intense descent into Loud City Song. A lot of the songs are pretty music or in some instances catchy songs out of context, or listened to casually. But when focused on with your whole attention, and listened to sequentially, they are all integral, highly charged parts of a greater whole. I put "In the Green Wild" on a mix CD this summer, and it kind of turned me off the album for awhile--made me think I was done with it. But revisiting it within the context of the album, it's totally amazing. I mean it goes in a different direction that the examples mentioned, but the same principle.

Yes but it really depends on the album. Run the Jewels 2 stood out as a recent listen where all the songs just flowed together so nicely that I really enjoyed the album, but there's no real songs I feel compelled to listen to on their own.

No, not if it's the exact same version.

Now, if the LP version is longer, or even a different recording, it's possible.

I rate the single version of "All Right Now" by Free as better than the LP version, which is not only much longer, but is an entirely different recording.

Conversely I rate the full version of "What'd I Say" as much better than the edits on part 1 and part 2 of the single.

Not for me but that's because I always rate songs independent from their context (well ultimately I still listen to them in context when I listen to the album) and allow any album related synergies to go to the album rating.

Absolutely. Context can change my appreciation of just about anything greatly (and context can refer to a new source, as in this poll, or to a different medium [i.e. not just on a movie soundtrack but in that movie] or even just my general state of mind).

I certainly agree context changes appreciation. But I think the question was more getting down to rating. To me that needs to be relatively context neutral (recognizing that nothing is completely context neutral which is why multiple listens in different contexts are required for me).

Imagine "Bound 2" on a different album. It wouldn't have the same earth-shattering effect.

Guessing you object to the longer guitar solo on the LP version?

It's okay, but the single is not just an edit of the LP version. It's an entirely different version. Same thing with REBEL REBEL by Bowie, but I prefer the LP version that starts with the guitar riff intro. The single version below starts with a vocal intro, is about a minute shorter, and has background vocals that are not on the LP version.

[youtube]http://www.youtube.com/watch?v=VAoofSjaJgE[/youtube]

Definitely yes.
This goes for a lot of songs on Ambient and Field Recordings albums, which (if the album is well done) rely on the atmosphere that the preceding tracks created.

Duh

Of course, lots of examples in movies. My favorite somewhat recent one was Gui Boratto's "Take My Breath Away", which I didn't even think that much of when I heard it on the album (I thought "No Turning Back" was the clear anthem). But then within the context of a sequence in The Great Beauty, it became this evocative revelation that I never knew it could be.

Another huge one is Family of the Year's "Hero" in Boyhood. Surely a corny piece of sentiment without Boyhood, but now it's interjected with a surplus of emotional and profound life-affriming baggage through the context of the film.

Throw film into the mix and a lot of merely good songs become great. This is especially the case if Denis Lavant is involved. "Modern Love" in Mauvis Sang, and "Rhythm of the Night" in Beau Travail cannot be beat as cathartic film sequences.

Been rocking sources codes and tags the last few days, a great example of songs within the context of the album being "better".