Ok, so you have your own definition of genocide that doesn't include an actual attempt, and intent, to wipe out the group that is the victim of the genocide. That's fine.
This part is correct.
I define genocide in the traditional way, going back to 1948:
The word 'genocide' first entered the English lexicon in 1944, not 1948. It was first used to refer to the killing of Jews simply because they were Jews. This word stems from the Greek 'geno-' (meaning familial relationship, such as a tribe or group related in some way) and '-cide' (killing).
In the Geneva Convention, a definition that is more restrictive is given there, but generally carries the same meaning.
To commit genocide is to act with the intent to destroy, in whole or in part, a national, ethnic, racial, or religious group.
Such as the killing of Jews simply because they are Jews.
So, is Israel acting with the intent to destroy, whole or in part, the citizens of Gaza?
No.
Non-beligerent citizens, however, are always casualties in warfare. Every soldier is also a citizen as well. NOTHING in the Geneva convention outlaws war.
On October 7, 2021, Hamas fighters killed about 1,000 civilians in 8 hours, using nothing but handheld guns and knives. If they maintained that rate of murder, that would be 3,000 per day and would total just over 2 million in 2 years since the war started.
Israel, an actual military, with actual military weapons, has killed (last I saw) 74,000 in 2 years.
That's about right.
Why is it that Israel, in their alleged attempt to commit genocide has done such an incredibly poor job at committing genocide when they certainly have the means to do it?
Israel was at war against HAMAS and to a certain degree with those funding HAMAS (Iran).
HAMAS citizens were also mostly belligerents, and those that weren't were put in harms way by HAMAS as a human shield (which violates the Geneva convention, but HAMAS is not a signatory).
Israel has the right to conduct warfare, particularly to remove threats against it, such as the rocket and light air attacks against Israeli citizens.
War isn't pretty. Non-belligerent citizens often get killed in them. The bombings of Dresden, London, Tokyo, Hiroshima, and Nagasaki and the attacks across numerous towns and villages across Europe during WW2 are examples.
HAMAS placed citizens as human shields of military targets. HAMAS kills it's own citizens to this day. It's not as bad as the number of deaths of their own civilians by Pol Pot, Mao, or Stalin has done (all in the millions killed), but that's because HAMAS is much smaller.