Is health care choice important?

Aaron Carroll has a nice overview of the situation in Florida where people who campaigned on health care choice seem to be removing for state employees. He quotes this news story:

Florida is changing part of its state-employee health insurance program to offer only one HMO in each county. The state Department of Management Services, which oversees employee insurance, said changes in the program would save an estimated $400 million over two years. The changes also would require thousands of state employees to switch to different HMOs, a process that would begin in late September.

I wonder if these positions are more harmonious than they appear on first glance. If the goal is to make government service less appealing, reducing health care choice (and thus competition) makes these positions less desirable.