Almost. Although I don't remember the details, IBM has Live Partition Mobility for WPARs on AIX. They were looking for differentiation from Solaris Containers at the time and bought a startup called Meiosys, which had some tech which helped them add live migration to WPARs.
Heh. Even though I work for IBM I wouldn't bother mentioning AIX on HN; it simply doesn't exist inside the echo chamber.
You actually have to buy an add-on called WPAR Manager[1] to enable live mobility; it's not available in baseline AIX. They have been shipping this tech for several years now. Disclaimer: I was on the WPAR Manager dev team for several releases.