Solved: I tried the proposed change of add-ons instead of dropDownHorizontalOffset, and it really worked, the problem was that it also changed the position of the text in the primary spinner's object, which made it look not very large. Thus, this method works, but is not preferred.
The problem was that we used a common theme up to 4.1 for our application (theme.NoTitleBar), and dropDownHorizontalOffset was not supported by this old theme, because in general, fully supportive players were not supported. I changed it to Theme.Holo.Light.NoTitleBar and everything worked out fine! I don't think this is too common in the problem, but hopefully this can help someone.
user3261293
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