Yes we have better estimates. In Mariupul for example estimates are above 20k civilians dead and murdered.
UN cannot personally verify any of this though so it counts them as zero. It should be at least the double of their estimate.
> It's my understanding that this war is really not particularly bloody for civilians as it is moving so slow that Russians are taking month to conquer pretty small towns and cities and the civilians can usually evacuate or hide.
Russia's advance has slowed to a crawl yes but the amount of people murdered in the places where Russia does take control are still very high (see Mariupul as an example). Especially in the early days of war they took a lot of land.
> The bombing campaign has some civilian casualties, but I mostly see headlines mentioning <5 dead overall per occasional huge wave of drones and missiles.
5 per day is too low as that would only add up to around 5.5k civilians and per UN's own calculations that's too low.
They've been targeting civilians, including schools and hospitals, daily since the war started.
