Early detection is definitely the key with any household issues you may encounter, the same goes for the exterior of your home.
Stucco/EIFS is an old application and dates back to the end of World War II. It has withstood the test of time, but not without its faults. Stucco/EIFS is known to retain moisture and trap moisture behind its application, leading to the damage of the framing of your home.
Having a Certified Inspector from Get It Inspected over to complete a non-intrusive moisture scan to identify areas of relatively high moisture content, could save you thousands in repairs in the long run.