according to ICRC, over 2,000 dead Armenians recovered just from from around Shusha.
I thought this claim was a load of crap, but I didn't have time to look in to it when I replied earlier.
The only place I can find this mentioned is Wikipedia. The link from Wikipedia as evidence is to this article Карабах завален тысячами трупов: жуткая правда о бойне в НКР от армии России (ФОТО)
But even that article doesn't say what you claimed. It says
In the area of the city of Shusha, in the first week, more than 2 thousand bodies were found and transferred to each side.
Now try looking at any of the international media stories about the families protesting outside the MoD in Yerevan because they don't know what has happened to their relatives. Every article says 'dozens' or 'hundreds' of families not 'thousands'. None of the international media appears to be accusing Armenia of trying to hide the extent of their casualties, just you.
Two weeks after a cease-fire, an untold number of Azerbaijani families can only guess whether their sons, brothers, and nephews are still alive.
It is however pretty obvious to everyone that Aliyev is desperate to conceal Azeri losses. Why do you think that is?