The quick looting mechanic gives you the ability to loot stacks now. I have not encountered any delay to be able to loot a body. However, others experienced an issue so it seems like there was a delay. Here's an official reply about this on the forums by a CM dated December 1, 2020-
"...the loot delay would stop a player from performing other actions like drinking a potion or moving was not intended. We are already working on a solution to fix this issue."
Also, there's another update in the news, Dec 15, 2020 - Fixes and Changes
"We implemented a fix to address the reported problem of occasionally getting stuck for a short time while quick looting."