Actually, the Hamburg-Berlin IRE should be covered by this ticket as well, which requires no changes at all.
Also the travel takes ~4h15m (RE->RE) instead of ~1h50m (ICE).
If your traveling at a time where the RE is not over crowded and you can spend the time well it's okay. If not, especially if the train is overcrowded in parts of the travel and it's really hot it's shit.