Okay, so- Method 1. I'll go over it so I can remember what it is. Method 1 is a complete theme is carried throughout a movie and can be expanded upon or used differently, played in different keys ect.
This is not my favorite method because I like change. It is quite possible to do diverse things with this method, as with all the methods, but it's the most likely that, for example, when a character appears on the screen, his theme starts up. And it's okay for the character to have a theme and for it to be played when he shows up- it's good for that to happen, in fact because it can give the viewers a sense of direction. But when the exact same theme is played every single time (or almost every single time) I feel a little like I'm being given the same dish day after day and I'm expected to enjoy it.
I think that Patrick Doyle uses this method often enough and he does it very well, such as Brave (2012). There is a distinct theme or two in that soundtrack, but he works with it so well that you don't feel like you're listening to the same song but with variations. I'd say that Brave is a good example of how Method 1 should be used. Instead of using the theme as a great club which one can knock out someone with, you can nimbly have it for your own uses and occasionally shock someone with a quick jab.
Now the use of this method in movies is interesting. As I said in my other post, this method is often used for superhero movies. (as a side-note: interestingly enough, Captain America: Winter Soldier (2014) is not Method 1) But why is this method used in Superhero movies?
There's the obvious answer that superheroes are definite. They're not just people that have stumbled into an adventure (although that is often the case) but they're superheroes. They're sort of like a special branch of marines or the royals. They have special names, special clothes- they have a very special purpose and goal, they are heroes, so of course they're going to have distinctive themes that appear repeatedly in a movie! So what does that tell us about this method?
This method represents something that's big and important. It's the elephant method. It works well with a movie that comes right out and shows itself all at once. It's not afraid of who or what it is and what it's working with. 
Music can tell you a lot about a movie, whether you hear it before you see the movie, during the movie or afterwards. I could go on and on about how important it is and how much I enjoy it but I brought that up to say that it tells you a lot depending on what method a movie uses. Of course I think it would be hard to decide which method is being used while watching a movie- as much as I like music, even I can't concentrate on the music more than the movie- but this is a distinct method and when you hear a tune being brought up again and again, and you can more or less assume it's Method 1, that tells you that this movie is big, it's bold, it has a story that comes out all at once.
Of course sometimes this method is used when it shouldn't be. There are movies that are fairly small and the story only comes out when it wants or lets bits and pieces fall, and it has Method 1. That can make it feel a little like- well, the elephant in the room. 
This method really isn't bad. It's the most cumbersome of all the methods, but it can be used in amazing ways.   

Method 2, where a theme is played throughout the movie and is given variations and had other tunes brought in, but it completes the theme with a little more majesty at the end, is, as I've said, a common method. I can't really approach it in the same way as Method 1 because it's a little more flexible.
It's very flexible. It can be used for just about any movie, it can either be subtle or grand. Thomas Newman's Little Woman (1994) is Method 2 and that is a wonderful soundtrack. It has a theme that's used throughout as well as other, smaller tunes, even half tunes that ties it all together, and the climax is gradual and thoughtful- in the sense that you feel like he's slowly exploring a garden rather rushing straight to the masterpiece.
And that's basically what this method is, an explorer. It studies things and goes over things carefully. You won't get to the end until you need to- or, as is often the case, when you're not actually ready for it. 
And I suppose that tells you something about the movies with soundtracks that use this method. It's more of a thoughtful method so it's a more thoughtful movie with a plot that reveals itself slowly and when it needs to. It's probably more likely to be used in a movie that has some sort of mystery. As I stated above, Captain America: Winter Soldier, is not Method 1- as with most superhero movies- but I'd say it's Method 2. And it's an interesting version of Method 2 because the climax is not as big as I would expect, in fact the whole soundtrack kind of surprised me. However, deriving what we know of method 1 and 2, Method 1 is for big things. And that movie is big (if you've seen it and you're a fan, you know how big it is!) but I think it must be too personal for Method 1 to be used. It's a story about Steve Rogers, who is essentially a man- that's the importance of his character. And that's why Method 2 had to be used.