Overall weight does matter for racers climbing mountains - not in terms of the usually quoted rotational mass, but simply because a lighter tyre means a lighter bike. Rotational mass affects acceleration, not your rolling resistence or your ability to maintain speed. As the research points out, the differences in tyre weight between, say, 23 and 25 and 28 even 32 are relatively minor and are of concern really only to elite riders on mountain stages. For the rest of us it makes no appreciable difference.