I do the opposite: one of my laptops is named "Peter's iPhone" (hint: my name is not Peter, nor do I own an iPhone) and I've also set all my Bluetooth to random Bluetooth headset or mouse models.
I see this joke frequently when looking at available wifi; is this meme a reference to a particular thing (other than the FBI having surveillance vans) or did a bunch of people just converge onto it?
I like this idea, but any sophisticated attacker will ignore the Bluetooth names and just pull vendors off the MAC addresses. Though it would be interesting if you can define the Bluetooth MAC addressees in software to match your fake names :)
I used to do something similar with my router. I would run an AP called "Linksys" or something common and give it an OUI belonging to Cisco. It probably had no benefit (maybe even harmful!), but it was fun to "disguise" my OpenBSD router as a common off the shelf router.