Why would they deport you? If U.S. insurance is going to pay, they'd probably make money off the deal.

Say you're in intensive care, and U.S. insurance pays $5,000/day (that's a low estimate of cost - ICU can cost $10k+/day). Healthcare in most of the developed world costs half of what it does here in the U.S. ($2,500/day for the same services) so bingo -- 100% profit.