It isn't really about how individual practitioners execute techniques. It is about how the training differs, how the art is transmitted. I am not sure if you intend for your post to be as hyperbolic as it sounds but the fact that ki society, yoshinkan. iwama, and mainline Aikido have differences in training methodology is patently obvious. That's what is meant by "different style."
I didn't want to sound hyperbolic in any way, and by the way i agree with you about these differences, they are obvious. Even inside Aikikai there are a lot of differences. For example if you see the current Doshu, Steven Seagal sensei, Christian Tissier sensei and others it's quite obvious that each one has his personal style in executing and in teaching techniques. But none of them is claiming his own style. So what i said is that i disagree with claiming other traditions and putting names and labels on them. But this reflects my own personal view. In fact, i respect some teachers that are claiming their own traditions for their technique (such as real aikido's Nenad Ikras). Although i still disagree with the choise of labeling his style that way, his technique is great and very effective.