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If the engines are perfectly aligned with the x-axis, then engine placement WRT CG is irrelevant. If the engines are not aligned with the x-axis, then engine placement WRT CG is a factor. For example, in the F-4, the engines were canted down approximately 3 degrees. So, when the pilot selects afterburner, the nose initially pitched down.

Engine power would be critical as it relates to how fast the plane accelerates. If the plane is trimmed for level flight at 200 KIAS and the throttles are advanced and the airplane accelerates to 350 KIAS in 5 seconds, then the pitch up will be more dramatic than if the airplane accelerates to 350 KIAS in 15 seconds.