Yes, Shia Islam does not "embrace martyrdom" in that they do not want to live. I think they handle us murdering them en mass with the utmost grace, maybe that's where you are confused?
They may want to live, but at least some of them are much more willing to die - much more willing to choose to die - than most leaders of most countries.
Let's just say that the factual position for my claim seems stronger than yours.
As for which of us is spewing propaganda... I'll let the readers judge.