No, I'm not forgetting that at all.

Starving the population of Gaza has little military value, however, so that isn't a really case of "tying hands behind their backs".

It's a question of acting with anger and vindictiveness, or with compassion and humanity, along with conducting the war.

Furthermore, the analogy with Germany and the Allies is extraordinarily bad on many levels. There are very, very few ways to use this in analogical reasoning to come to any sort of useful insight, and you haven't done it here.

The relative power is different, the history is different, the geographical isolation is different, the technology is different, the scope is different, etc. etc. all in ways that are crucially relevant to the discussion.