Tthe D820 will definetly get a Lollipop update.
Here it is:
I downloaded the newest ota-update via system settings and copied it to my conputer (the update file can be found in download folder on you internal storage).
Then i extracted the recovery.img from the .zip using a zip archiever progra...
Yes, that is what i did except root. I got stuck on flashing TWRP because none of them worked for me.
My ota is 1.01.980.1_R. I can not post links because i am a new user. I'll send you a pm with the link.
If it will not work you might try anothe...