In Haier's case they bought way more than "just" the GE sticker. Haier is still using factories built by GE Appliances for many of their GE branded appliances and in many cases using the same people/processes/pipelines as before.

There's still plenty of nuance in these rebadging situations. It's also hard to tell without following a lot of business news whether the new owner just bought "the stickers" or bought all the original factories or bought some complicated deal in between.