Because an answer seems so important to you, I can tell you that in the last big published study of people with CH in the US (more than 1100 people, mostly members of CB or ch.com), about 13 years ago, this was the report: "55% of the US cluster headache population has had suicidal thoughts while 2% have tried to commit suicide. In addition, 50% of survey responders also demonstrated selfinjurious behavior during attacks." https://www.clusterheadaches.com/yabbfiles/Attachments/Cluster_Headache_in_USA.pdf
This doesn't precisely answer first question you are asking, but it might be as close as you can get. Overall, about one in 30 suicide attempts actually result in death.
If you would want to try to project those statistics to today, you might want to consider the many recent developments that might affect suicidality, most of which are included in previous posts in this thread (the study that showed effectiveness of "high-flow" oxygen, for example, was published a year before the study I have quoted from). On the other hand, I wouldn't be surprised if the percentages have remained about the same.