The ad campaign, created by the agency Gale, aims to make a point about dairy in a somewhat entertaining manner. It was directed by Hannah Levy and co-written by Neil Casey, both of whom are alums of the popular comedy show Saturday Night Live.
That explains why the ad is smarmy and condescending rather than funny
The entire bit seems to exist to create one moment where Aubrey says "Got Wood?" while her upper lip is covered by a 'wood milk mustache'.
All dairy politics is sexual pathology.
The video they linked is the shortened version, the full one (30 seconds longer) has this line:
:yea: