That was precisely my point in a health care system where the individual chose a provider and a plan over the employer providing it. This way it would be a part of their individual coverage when they travel from employer to employer. How often do people have to wait until they acquired a certain amount of hours first, simply because they have signed on with a new employer? I have not heard Obamacare changing THAT policy standard. Individual plans would require less paperwork, as you take it with you, unless you opt to change coverages.
OK. It's a solution to problem but that's not our world and it's not likely to be in the near future.
As long as we're dreaming, though, let's dream of universal, single-payer. The government provides health insurance to everyone. Call it Medicare Part E because Everyone is covered whether employed or not, rich or poor or anything else. It never lapses, never is cancelled and covers everything. That would be the best possible solution.