No, it actually says there is no evidence the figures were ever inflated.
“The differing demographics across the two casualty recording systems evaporates in the October list and is even slightly reversed. For example, males aged 15-45 constitute, respectively, 38.8% and 38.1% of the deaths in the central and family systems.[3] The reason for this shift is unclear but its existence calls into question the idea that comparing the demographics of deaths captured by the two methodologies can illuminate the true death toll of the war.[4]”
in fact it goes on to say
“The overarching goal of the HJS report seems to be to shoehorn the IDF estimate of militants killed into MoH death totals to demonstrate that combatants constitute a large percentage of the dead. This simply does not work because the demographics of the MoH lists are incompatible with the IDF claims – there are not enough fight-age males on the MoH lists to make this argument work.”
As for lying, yeah the first casualty of war is the truth and both Hamas and IDF are guilty of it.
The casualty figures aren’t just from Hamas. They are also from international aid workers. It is also very very common for casualty figures to not be accurate given the challenges of counting the dead while under 24/7 bombardment in an active combat zone (even the so called safe areas are being attacked daily).