In my Yeshiva, we have Sephardic tikkunim called, ״איש מצליח,״ basically the Sephardic equivalent of סימנים. I own an Ashkenazi tikkun (not סימנים). In my tikkun, sometimes a hataf-patah will appear under letters other than אהח״ע, usually in a word from the root ברך, or in the case of double letters such as ויכננך and יסבבנהו. In Artscroll Ashkenazi siddurim, they always appear with a sh'va. In the Sephardic tikkun, they appear with a sh'va and at the bottom there's a footnote saying, for example, ״ויכננך [with a hataf-patah] למנהגנו, וכ״ה בקורן" ... according to our [the Sephardic] custom, and it's also like that in the Koren [Tanakh]. Sometimes it will leave out that last part because Koren has it with a sh'va and not a hataf-patah.
So my question is: When should I, an Ashkenazi, pronounce it with a hataf-patah, and when should I pronounce it with a sh'va na‘, keeping in mind that I don't bring my Askenazi tikkun to Yeshiva, that it's not the most accurate tikkun, and that my brother's Ashenazi tikkun and the Siddurim always say sh'va na‘?