DA/DH and MDA/MDH both get a callout of "minimums". The pilot is expected to know (from having briefed the approach earlier) which meaning applies. This is true for every FMS/GPS I've seen, not just the B737. On planes without this feature, one of the pilots will call out "minimums", and even a solo pilot (for smaller planes) should say the word to himself as a reminder.
While all pilots are required to understand English, it is best to assume their vocabulary is limited--especially during stressful situations or for urgent problems. Therefore, like ATC, planes use standard phrases--and as few of them as possible--to limit possible misunderstandings. If one general word can cover multiple situations, then that is preferred over having gratuitously different words for each one.