According to the Gemara (Brachos 11b), once one has made the blessing of Ahava Raba before saying Shema, than he no longer has to make birkas hatorah in order to learn Torah afterwords. The Shulchan Aruch codifies this as the halakha, provided that one learn Torah immediately afterwords (see O.C 47:7), and this is agreed upon by almost all of the commentators, including the Mishnah Berurah there.
Based on this, why should we say the Birkas HaTorah at the very beginning of davening at all, isn't it not needed - a bracha (or two) she'einah tzericha (see Tosfos Menachos 36a s.v. Sach)? Wouldn't we rather minimize the amount of brachos said, even if this beracha is necessary (see Tosfos there)?
(I understand that there's a need if one holds that pesukei dezimrah cannot be said before making a bracha on the Torah because it includes pesukim, but the Rama (46:9) doesn't hold that way.)