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One plausible explanation is Vegeta's psychological state at this time—he was overwhelmed by fear and anxiety due to Beerus's reputation, compelling him to remain restrained and calculated rather than unleashing all of his power recklessly. He cared deeply about preserving the Earth and avoided energy-consuming transformations like Super Saiyan 3, which would have drained his stamina and left him vulnerable.
Looking Ahead: Can Super Saiyan 3 Return?
Despite the aforementioned discrepancies, it’s essential to recognize that Vegeta’s lack of Super Saiyan 3 in the "Dragon Ball Super" narrative does not invalidate the series or suggest a break in canon. "Dragon Ball Daima" expands the options for character development as it continues to align with earlier stories.