Why not have both? Sometimes you’re not paying attention and want to check the damage from the previous round, but once the round starts it disappears. Also, on some resolutions or with certain radar HUD sizes, the radar covers the players at the top, so you can’t even see the damage.
Just to be clear, I’m not referring to showing the damage done after dying during a live round. I’m talking about having the same damage that's displayed on the HUD to also appear in the console.