That would not be a split in halves, by any means, though. East Germany accounts for about 15% of the population, last I looked. Also, the far-right AfD got about 20% of the votes in the recent election. That is also not a split in halves.

Why squabble at semantics here fixating on exactly half? 1/5th of modern Germany voting for the modern incarnation of the nazi party is a disgrace and speaks to the propaganda situation their population faces.

Simply because the statement was "half of the population benefits [..]". That is wrong. Feel free to skip corrections that annoy you.