it makes such a low amount of sense that you're inevitably going to get your students extremely confused if they are paying any attention at all.

Normally because you encounter this with the Bernoulli experiment about blowing over paper causing lower pressure, or the experiment where a spoon or ping pong ball gets pulled into running water. Both of which also turn out to not be Bernoulli's principle (it's Coandă effect)!

The first question I asked as a kid was "So then why can planes fly upside down?" and flummoxed the entire room.