Now can less lift going down wind be incorrect ?
think about it for a minute.

Havn't you seen trash blowing in the wind,
it's floating in/with the wind but it's not control flight.

You can piont a model into a 15-20 mile head wind..if you're good
and just hover....no air speed ,but plenty of lift.

How do you think i make my heli hover without going into forward flight ???
sometimes with negative air speed or reverse.lol

Think about it...you flew a kite at some piont in you life....no air speed
You've probably lost a kite becuase the string broke...
Dose the kite still retain lift as it floats away with the wind ? plenty of air speed in a stall...lol