First you were bold, it was clear you would require 'proof of innocence' to believe the figures:
Why would you think this estimate would be even close to the truth?
Then when asked why this would help them, you got vague:
I think Hamas directly benefits from higher casualty counts as it's good PR for them. The goal of their attack was not to militarily defeat Israel, it was to provoke Israel into a response that would weaken them long term, sap their resources, maybe mobilize other countries around them to assist, and to make further normalization of relations with Israel more difficult for other Middle Eastern nations.
These are all PR/policy goals, they aren't military ones, and Hamas has a direct incentive to misstate them here, so I don't take them at their word. As mentioned above I also wouldn't believe Israel's estimates for the same reason.
Vaguer still and an attempt to shift the goalposts to talking about the conflict in general and their goals:
I disagree! I think there was strong momentum for a general normalization of relations between Israel and a bunch of its neighbors before the war, and the war definitely delivered a hit to that. Maybe it doesn't work long term but I think that was absolutely one of Hamas' goals and PR directly feeds into that.
Then an attempt to get back on topic, you doubled down but still did not supply any argument of substance:
Reporting higher casualties directly contributes to their goals. I don't think this is a particularly crazy connection to make.
I think Hamas has a genuine desire to see Israel weakened or destroyed and takes actions consistent with that.
Another attempt to shift the topic to talking about the conflict in general:
Uhm... what? The conflict in Gaza makes normalization of Israeli relations more difficult. Don't take my word for it, just look at the actions of the Saudis following the invasion. Normalization may still happen (I bet it does) but it's definitely had a wrench thrown in things. The more casualties in the conflict the more poorly it will be viewed and the more difficult completion of normalization is. A --> B.
Unless you're saying the conflict doesn't affect normalization of relations or you're saying that neighboring countries are indifferent to the number of casualties I'm not sure what the argument is.
It was a really simple question I asked: How does fudging the figures *directly* help Hamas. I'm already perfectly open to entertain the possibility that it *might help in some way* so vagueness (e.g. "PR") is of no use to convince me or anyone else here. Anyone who actually gives a shit about Palestinians getting slaughtered en masse isn't going to swayed any further one way or the other if the figure is any other number of thousands dead.
The sad, cold fact is that it does not matter how many Palestinians are butchered by Israel, just like if the Nazi regime had solely been about rounding up the undesirables in Germany and slaughtering them en masse then WW2 would very likely never have happened. The West set the destruction of Palestine into motion decades ago, they're cool with it. *Maybe* it's a red line for the West if Israel attempts to expand beyond Palestine, maybe not. As long as Israel is getting weapons and funding from the West, its neighbours know that there is no chance of defeating Israel (unless Israel can be convinced to do something incredibly stupid like literally deplete its entire human force vs. Gaza). Israel can play the long game, they will no doubt agree to a ceasefire before their reservists have completely had enough of this shit, wait a few decades while continuing to slowly consume Palestine with militarised police tactics and settler violence, then when a few generations have replenished their forces, they'll find an excuse to restart the rapid destruction of Palestine. Israel has the luxury of time. I don't believe that Hamas has that same luxury.