Should men get bone density tests?

Yes. If there is physical evidence for thin bones as when a man's bones look thin on x-ray or there is a history of fracture with minor injury or there has been a loss of 1.5 inches of height, or if there are other risks for osteoporosis such as long-term treatment with steroids like Prednisone or hormonal treatment for prostate cancer or hyperparathyroidism, dexa scan absolutely should be done.
Yes. At age 70, it is reasonable for a man to get a bone mineral density test (dxa). Fracture risk is related to decreased estrogen levels, which begin abruptly for women at menopause around age 52. For men, the levels are maintained from conversion of testosterone until an older age, but eventually there is a decrease and an associated increased risk.