With a tailwind, your groundspeed will be higher, V/S will be greater to maintain a 3 degree descent and your pitch attitude will be lower.
To achieve the same "smoothness" in touchdown you will need a bigger change in V/S and pitch. So to achieve the same smoothness you don't need "less flare" but "more flare". It's understandable that pilots will tend to flare earlier in a tailwind situation to break the increased rate of descent. Combine that with the increased groundspeed and most pilots will tend to land longer (or float).
Originally Posted by someone
Hardly any flare is needed with a max TW. If you flare, you'll float.
"Hardly any flare" might be a good idea to avoid floating, when rwy length is a concern. The descent rate at touchdown will be higher and the touchdown less smooth. So yes, to avoid floating, "hardly any flare" seems ok but you will have to accept a firmer touchdown!
If you're aiming for a smooth touchdown on the blocks without floating in max tailwind, you will need to flare more (larger pitch change) and later then usual. (=larger pitch change in less time) =not easy.
To get back to the original question in post 1: prefer flaps full for tailwind landings.