Rabbi Dr. Chaim Soloveitchik wrote in Rupture and Reconstruction page 111-112:
(c) The contemporary shift to text authority explains the current prevalence in yeshivah circles of the rulings of the GRA. The GRA, while far from the first to subject the corpus of Jewish practice to textual scrutiny, did it on an unprecedented scale and with unprecedented rigor. No one before him (and quite possibly, no one since) has so often and relentlessly drawn the conclusion of jettisoning practices that did not square with the canonized texts. Great as was the GRA's influence upon the mode of Talmudic study, and awesome as was his reputation generally, nevertheless, very few of his radical rulings were accepted in nineteenth century Lithuania, even in the yeshiva world. (To give a simple example: the practice in the Yeshivah of Volozhin was to stand during the havdalali service as was customary, rather than to sit as the GRA had insisted.) See also Aryeh Leib Frornkin, Sefer Toldot Eliyahu (Wilno, 19(0), pp. 70-71. Seeking there to demonstrate, to an elite Lithuanian audience at the close of the nineteenth century, the uniqueness of his distinguished father and uncle, Fromkin points out that they were numbered among the very few who followed the rulings of the GRA. Most towns in Eastern Europe had traditions going back many centuries, and even the mightiest names could alter a practice here and there, but could effect no wholesale revision of common usage. Indeed, the GRA's writ rarely ran even in Vilna (Wilno), outside of his own kloyz; [the small synagogue where he had prayed]. (I have heard this point made by former residents of Vilna, See also Mishnah. Berurah, Biur Halakhah, 551:1, and note how rare such a comment is in that work.) Mark should be made of the striking absence of the GRA from the Arukh ha-Shulhan, Orak Hayyim, written by one who was a distinguished product of the Yeshivah of Volozhin and rabbi of that bastion of Lithuanian talmudism, Navahrdok (Novogrudok). Indeed, the first major work known to me that systematically reckons with the Biur ha-Gra is the Mishnah Berurah, and understandably so, as that work is one of the first to reflect the erosion of the traditional society (see, above, text and n, 6). With the further disappearance of the traditional orah hayyim in the twentieth century, the ritual of daily life had to be constructed anew from the texts; the GRA's work exemplified this process in its most intense and uncompromising form, and with the most comprehensive mastery of those texts. It is this consonance with the contemporary religious agenda and mode of decision making [pesak[ that has led to the widespread influence of the (GRA today in the yeshivah and haredi world. (See below n, 68.) (S. Z. Leiman pointed out to me that S. Z. Havlin arrived at similar conclusions as to the delayed influence of the GRA on pesak, and further corroborated them by a computer check of the Responsa Project of Bar-llan University. He presented his findings, in a still unpublished paper, at the Harvard Conference on Jewish Thought in the Eighteenth Century, April 1992.)
(1) I emphasize that my remarks are restricted to pesak and do not refer to modes of study. In the latter field, the GRA's impact was both swift and massive. (2) In light of my remarks above, I should take care to add that though the GRA is noticeably absent as an authority in the Arukh ha-Shulhan, that work is written in the spirit of the GRA, whereas the Mishnah Berurah, for all its deference to the GRA, is penned in a spirit antithetical to the one of the Gaon, The crux of the Gaon's approach both to Torah study and pesak was its independence of precedent. A problem was to be approached in terms of the text of the Talmud as mediated by the rishonim (and in the Gaon's case even that mediation was occasionally dispensed with). 'What subsequent commentators had to say about this issue, was, with few exceptions (e.g. Magen Avraham, Shakh), irrelevant. This approach is writ large on every page of the Biur ha-Gra, further embodied in the Hayyei Adam and the Arukh ha-Shulhan, and has continued on to our day in the works of such Lithuanian posekim, as the Hazan Ish and R. Mosheh Feinstein. The Mishnah. Berurah rejects de facto this approach and returns to the world of precedent and string citation, Decisions are arrived at only after elaborate calibration of and negotiation with multiple "aharonic" positions.