Yes you want air down to the floor, but it depends on how high you are taking that air from and how far back.
You do run a risk of creating some lift from the reaction force of that air being pushed down.
Also with the vanity panel in that design, there's probably 2 inches on each side, so i don't see it pushing much volume of air down even if we ignore any lift.
But this is all opinion, we wont know till it's tested.
Did a nose myself, just tried to keep things simple. Not saying it's a better design but i'm just sharing it on the board.
I'll investigate the middle finger or anteater or whatever you call it vanity panel later.
went with a concave shape on the top of the nose. This is best for downforce creation. That hole at the top is to break the momentum change of that cancave shape as the air comes over the top of the monocoque.
Decided to narrow the neck of the crash structure. This way i bring in air under the nose. It will naturally go there due to the shape without being forced by the vanity panel. Note the high pressure developed by the concave shape, i'll make it eliptical later.

Side view, somewhat like the old school of thought in terms of how the looks came out. As i said, the concave shape on top is what gives the old shcool flavour, but it's really function over fashion.
Well that's it for me in terms of noses. Not the most exciting, but just went with a safe reasonable expectation.
The duckbill has a reason for being as it is. The regs have a location for the centroid of the shape. The make the bottom side of this shape as high as possble, we need to make it as close to that 185mm specified in the regs. Making the nose as wide as possible will mean that a shorter height will be required to meet the minimum area of 9000mm square. the nose tip is 250mm x 36mm here, and the base of the tip is 18mm away from the 185 mm centroid. This makes the tip as high as possible.