Is one who dies by falling from a great height considered a martyr, and is it permissible to call him such to ease the burden on his family?

One who falls from a high place is hoped to be among the martyrs of the Afterlife, who receive a great reward due to the severity of their death. It has been mentioned in hadiths that one who falls from a mountaintop is a martyr, and that these severe deaths are an expiation for sins and an increase in rewards.