Maybe I’m misunderstanding your description but I’m imagining an object moving in a straight line and pulsing information perpendicular to its path at a constant rate. If there’s even a slight curvature to the objects path the perpendicular lines will converge on the inside of the curve. Wherever 2 perpendicular lines intersect there’s a “potential” for information from 2 different positions to arrive at the same time, but that is not guaranteed. For this to be the case the information from position at T and T+∆T must reach the intersect point at the same time, this means that the objects postion at T+∆T itself must be closer to the point by the distance the information has to travel in ∆T along its own perpendicular path. Since the objects path is a curve (no infinite acceleration) and the closest distance between position at T and T+∆T would be a straight line. Because this line is the hypotenuse between the 2 positions and the information’s perpendicular position at T+∆T, it will always be longer than the distance the information has traveled in ∆T. My intuition tells me that the objects speed must therefore be faster then the speed of the information itself to essentially “cut the curve”.

I imagine something like that is possible with sound and going hypersonic but not with light, since their is no sonic boom equivalent.