An unwinnable war still benefits the state if it helps maintain hegemony over their ~⅓ of the world's public consciousness. Oceania was at war with Eastasia: Oceania had always been at war with Eastasia.

Obviously war can benefit the state so it becomes a simple cost benefit analysis. Execution does seem to be irrational when you could instead force them into a lifetime of involuntary servitude.

Not arguing for it, but the scale of execution is insignificant in comparison to suicide.

Suicides in the US (where assisted suicide is illegal): 45,979 (with 1.2M attempts)

Executions in the US: 17

I assume you're giving numbers from one specific year?

I'm not asking to imply you've cherry picked numbers, just that giving stats like that (number of actions for a country with no defined time period) is only telling half the story, and even though that half was enough to make your point I think the other half is worth including for the sake of curiosity :)

edit: yes seems to be 2020, search of that suicides number pointed to e.g. https://afsp.org/suicide-statistics/