Seth. I say something like this although we have very little EIFS around here.
EIFS:
: Recommend Licensed EIFS inspector for evaluation before close of escrow.
: EIFS stucco siding has history of failure and water penetration due to poor installation especially around window and doors.
: Recommend this web site for more information.
Exteriors of Residential Buildings - Inspection, Defects, Repairs, Siding and Paint Failures
Sure looks like a lot of moisture damage with that house. Make sure you inform your clients in plain language about these issues. I would add after all your comments on trim, siding etc "Risk of concealed damage"
Good luck.