Deficiencies of some things do if they are severe enough.
Others things and/or less severity results in a weakened system or systems so that a stress that would be a brief and mild episode results in dropping dead. Or in lingering death or in long-term lingering illness without quite killing them.
Example:
"...Newly hatched chicks fed a diet totally devoid of magnesium live only a few days. They grow slowly, are lethargic, and often pant and gasp. When disturbed, they exhibit brief convulsions and become comatose, which is sometimes temporary but often fatal. Mortality is quite high on diets only marginally deficient in magnesium, even though growth of survivors may approach that of control birds...." Merck vet manual
Among the citations of related studies is a study about magnesium supplements reducing the effects of heat stress.
If a bird dies of "heat stress" - was it really from heat stress or was it actually from magnesium deficiency?
An example of less overt effects of deficiencies from people:
"...Certain health conditions and diseases, including
vitamin D deficiency, can damage peritubular capillaries. This damage can lead to capillary rarefaction, or a loss in density in the capillaries. The loss in density affects how they work.
Damaged peritubular capillaries aren’t very good at repairing themselves. Because damaged capillaries can’t work like they should, peritubular capillary rarefaction is associated with
kidney disease and
hypertension (high blood pressure). These conditions are very common. Nearly half of all adults in the United States have hypertension, and around 15% of adults have some type of chronic kidney disease. ..." Cleveland Clinic
Perhaps some people have a vitamin D deficiency rather than a kidney disease?