Don't know if the numbers would be high enough to move the employment needle all that much.  For example, Switzerland, one of the earliest adopters, had [750 assisted suicides in 2014][1] out of 8M inhabitants.

In fact, reading from the wikipedia link, you could even *generate* extra employment in the suicide industry:

>  Euthanasia organisations have been widely used by foreigners, in what critics have termed suicide tourism. **As of 2008, 60% of the total number of suicides assisted by the organisation Dignitas had been Germans.**

  [1]: https://en.wikipedia.org/wiki/Euthanasia_in_Switzerland