The term "Obamacare" has no semantic relation to your critiques whatsoever, so it's not more accurate at all.

If you really want to be both more accurate and more true to your critiques, try something like "ExpensiveCare" or "ConstrainedSupplyCare" or "BubbleDemandCare" or something like that. I could even see critics attempting something like "UnfairCare", referencing the fact that young healthy people with incomes are now paying for old/unhealthy/indigent people's healthcare in addition to their own.

But "Obamacare" is silly, non-descriptive, purely partisan, and universally detracts from any conversation about it.