When deciding whether to get an MBA on an MHA you need to first understand which skills you want to gain. Typically, an MBA teaches business and leadership skills whereas and MHA is a more specialised health degree.
While some MBAs can lack the specific focus on healthcare management that an MHA offers, the University of Adelaide's online MBA (Health Management) teaches students the desirable business and leadership skills of an MBA, through a health lens, providing students with learnings that are tailored to their industry.