a clever method of concealment at airport security
And the human body works pretty well for concealing such things. Just pay the airfare (and a small bit for the family) of a (likely) terminally ill individual and VOILA -- intercontinental transmission. Bonus points if you can get them to stop off in Madagascar first.
Most of the research I've seen on it has been about cell division, which it doesn't seem too messed up with.
Though I broadly agree with your observation (cell division is one of the most highly regulated cellular processes, and prone to failure if anything is screwed up), it is worth noting that HeLa does seem to have a problem, or at least abnormality, with the spindle checkpoint (a critical mechanism in cell division) if it has many multiple chromosome copies.
There are two ways to write error-free programs; only the third one works.