What I am doing in the Gemara is mainly based on how I learned how to learn in Shar Yashuv. In the Mir in NY, Reb Shmuel Berenbaum was largely dealing with what you could call Global Issues. That is how the Gemara in front of you fits in with the rest of Shas. And he would do this based on the regular achronim, Reb Chaim Baruch Ber, R Akiva Eiger etc.
But what I am doing is more like working on the actual calculating the sugia on the page itself. And sometimes I go into how it relates to other sugiot.
The thing about the Mir Yeshiva in Brooklyn was that each of the four Roshei Yeshiva knew Shas very well and almost all of their classes had to do with "global issues"- how the subject on teh page related to other areas in Shas. It was in Far Rockaway that I had gotten the idea that the first step is to work on the subject on the page completely before looking into the issue of how it relates elsewhere.