There's a well-known paradox in special relativity involving two rockets connected by a string, accelerating constantly with equal proper acceleration.* In an inertial frame relative to the rockets, they maintain a constant distance apart. The question is whether the string breaks. The most accepted answer is yes, due to length contraction.

I'm curious if the answer would be the same from a flat Earth perspective. If it differs, why? If it is the same, is length contraction also the reason? A couple of things to consider are that since this is special relativity, gravity isn't a factor, and whether the string breaks isn't relative. If it breaks or not in the inertial frame, the result must be the same in the accelerating frame.

*edited to clarify