3) Music (as in everything else besides the melody, i.e. beat, rhythm, and harmonies). If you write music, the chord progressions, musical runs, counterpoint dialogues between instruments and other musical expressions, the tempo, the syncapation, the outline of the song from start to finish, you have what resembles a composition (old school thinking) in that it lacks lyrics, and no direct melody yet. The problem with taking this course first (as I do and I know how hard this is!) is that trying to overlay a melody on top of your music, is very, very hard. It's almost like trying to build your foundation after you have contructed your walls and roof. VERY HARD THING TO DO! But allow me to add, that people who typically take approach #1 and #2 initially, before this 3rd, don't often come up with great music. Again, understand my definition of music (this 3rd definition).
Trying here to use your definitions as you intend them! I too think it's important to have "music" as opposed to just "melody" and "lyric", but the idea that you would create "music" first and then go looking for a "direct melody" to lay over it does not sound like a recipe for success at all, in terms of songwriting. Assuming that's what you mean! If you don't have a strong direct melody to start with, your song is going nowhere. As you say yourself, it's building a house without a foundation. You can develop a direct melody along the way, sure, but songwriting is about melody more than anything else, in my opinion. So I'd start with that, not write a backing track and then try to find a melody. You're right, that would be very hard indeed, and I don't see it as a modus operandi for songwriting, more one for musical experimentation. Maybe I am wrong. I'll will keep thinking about it...
My approach is direct melody and lyric developed simultaneously. For me the two are hand in glove, but I take your point that more often than not, the melody is more important in a song in terms of its potential to be well received. Having got what I hope is something good, I'd then look at creating what you define as "music", the rest of it, rhythm, harmony, etc. I do not claim to have the ability to write what I consider to be great songs, but I don't think that is because I write with the wrong method.
In the old days (my opinion, everything prior to about 1985) had more homeruns - great music, great melody, and not bad lyrics. You can tell my bias from this sentence.
That may be so, it's a very subjective thing, but I doubt if that is down to writers not writing "music" (using your definition) In my opinion it would be more likely to do with the way the music industry works these days. Now it's run by business suits, marketing people, accountants, etc. MORE SO THAN EVER BEFORE and no one is interested in art, they are interested in IMAGE above all else.
Even in 1962, the first thing that impressed George Martin about The Beatles was their image and individual personalities, which he felt he could "do something with.." and not their performance nor their songwriting. If they had been four quiet, ugly guys, would he have taken them on? I doubt it.
It's worse now. Many albums that were made before 1985 which we might consider "good" would not even get a chance to made and/or marketed by the big companies these days.
Also, there is plenty of good stuff post 1985. As you say, you are biased. Not a good thing to be biased in that way, in my opinion, but we all have our bias, we're human after all!
I may be posting my first ever MP3 of a song I'm working on this very moment to this site because I'm entering a contest and the deadline is in a couple of weeks. I wrote the music first, then lyrics, and am now trying to fit it all into a good catchy melody... but it's not stellar (the melody that is). I would hope it is, but it is not.
Nevertheless, you will be able to get a first-hand understanding of what I just wrote about (above) to instruct you on various approaches - mine being the 3rd. Of course, I'm hoping people will be riveted by my music, and maybe good story-telling. The melody is not easy for me. Stay tuned, and I'll drop a link in here when I get it mixed and uploaded for people to hear.