> Additionally, you very, very rarely have the antenna on chip
I didn't mean that there would be components intentionally serving as antennae in a design; more that you might be choosing analog trace lengths in e.g. a modem, or SDR ADC, to minimize harmful analog-domain interference at your bus frequency — i.e. to increase SNR, you're trying to make your traces be as little like an antenna as possible for the frequency bands they're carrying signal in, because you can't just band-pass that interference away.
The nice thing about shrinking by half, in such deigns — I would think — is that if you've already "tuned" your trace paths to a quiet band (for the country the component is being licensed in), then the harmonic frequencies of that band will also be quiet. Otherwise the band's fundamental frequency wouldn't be considered quiet!
(See also: why the unlicensed commercial-use spectrum was allocated to 2.4GHz, and then to 5GHz. 2.4GHz is an obvious choice, already useless for long-range communication due to water in the atmosphere; the other is its equally-useless first harmonic. But the great thing about choosing the first harmonic in particular, is that transmitting at 5GHz isn't putting short-range harmonic noise onto any lower bands that weren't already noisy due to existing commercial use of the fundamental frequency; so you won't suddenly find your other-band devices working worse in the presence of 5GHz transmitters than they already worked due to 2.4GHz transmitters.)