Capital Punishment and Euthanasia

I wonder if the eventual cultural acceptance of euthanasia could go something like this:

1. State budgets get really tight and some really unpopular cuts have to be made, such as reducing Medicaid or something.
2. Health care continues to be expensive.
3. A viral news story about how much we spend on the health care of prisoners gets people upset about how it's not fair for prisoners to get things non-criminals can't afford.
4. A bigger push occurs for cutting spending on prisoners and/or more widely using the death penalty for convicted murderers.
5. As a compromise, convicted murders start having the option of euthanasia as a means for applying the death penalty more often but in a way that feels more humane (and of course, cuts costs).
6. Although initial support was somewhat driven by wanting to reduce the number of convicted murders we have to spend taxes supporting for life, eventually people need to defend the change to themselves by viewing euthanasia in general more favorably.
7. Things come full circle. A viral news story about someone in terrible pain who is not allowed euthanasia complains that, if they were only a murderer, they would be allowed to die the way they wish. Now people think it's unfair that criminals have access to euthanasia but non-criminals don't.