Actually Art, the whole Idea of taking a narrow definition and then applying it broadly is called Inductive logic. (I'm sure you know this, I'm just saying it for reference.) Induction is almost always considered a
fallacy unless it can be shown to apply to every instance of the broader sense.
So if I make a narrow observation and apply it to a definition:
This swan is black therefore all swans are black -I am making what is commonly known as an
inductive fallacy.
Finally, the science of psychology is coming back in a big way because of two other sciences: Neuroscience and Genetics. The fact is that you can map the brain with an MRI and
watch people as they recognize the two seperate images. What you are presenting here as "subliminal" is actually -not recognized all at once (-for most people).
The mind actually has to move between seeing the image and seeing the text. Some people see the text and point it out to their friends and Voila! -the devious advertisers have done their jobs. Their word is out. People notice their ads instead of turning it off; tuning it out or paying attention to something else.
But I point out that the only reason is that it's "subliminal" whatsoever is that it's because people notice it. -Which of course violates the whole definition of subliminality. " Inadequate to produce conscious awareness but able to evoke a response: subliminal propaganda."