Freestylers are so used to call batw for batw, so I think it will be named that way for a long time. But I agree that batw should have been btatw from the beginning, like lebioda atw is hlatw-atw, not hlatw-tatw (that would be lebtatw). But if you say "batw-alatw", I think people will see it as "hhjatw-tatw-alatw" and not "hhjatw-atw-alatw" for many years from now.
In my opinion the k3atw is just an eatw in a less stylish way just like "inside magellan" is a latw inside in a less stylish way..
And talking about tricknames, I personally like to write the magellan as "mgatw" (magellan atw), because then it will be easier to write mgaatw instead of "abbas magellan"