It is also interesting that there have been published pieces showing that most of those gains have been correlated to income. People in the top 50% of income makers are living significantly longer than those in the bottom.

So I would caution against viewing this whole population study as a complete indicator that long-term unemployment is now an insignificant problem.

100% agree. Really any kind of knee-jerk rationalizing away of deaths, like that by the OP, should probably be taken cautiously.

Or more dangerous, as fewer people die from traditional causes, unemployment becomes a more significant factor.