Great topic, but your question does not distinguish between synthetic and real masonry stucco - so the answer is NO you should not avoid all stucco homes. But I understand why you and many in the general public often lump these two totally different products together, and have therefore based my answers to shed light on the differences. I hope our answers will help you as well as future readers.
The knowledgeable agents have urged caution, and answered that you need to understand the various risks, and the special upkeep requirements with regard to synthetic stucco. Other answers generalize, and do not come from an adequate understanding of the two materials, and several answers do not even distinguish between hard coat stucco and synthetic stucco.
These are totally different cladding systems and anyone who understands that, knows that any discussion, analysis, or commentary about one product, does not speak to the other.
My advice is based on long personal experience with the product as a building inspector and the overwhelming preponderance of evidence in trade journals and other third party technical reports.
My call is simple - for all typical owner occupant / family purchasers - avoid synthetic stucco on residential structures unless there are very unusual circumstances that make that particular property a sound decision to buy for that particular purchaser. These "green light" circumstances to move forward with synthetic stucco do not include "the buyer really likes the home etc". They do include the buyer has had a thorough Moisture Intrusion Survey by a specially trained EFIS Inspector and is comfortable with the findings, the future maintenance, and, the buyer/investor has the financial resources to address repair and even full replacement of the siding if necessary to assure a good future sale and exit from the property.
Hard Coat "real stucco" on the other hand, is quite safe to consider, just like brick, wood, cement fiber siding, etc. The caveat - always have any property you plan to purchase, inspected by a competent building inspector - preferably ICC Certified Inspector or Registered GA Engineer. There are also a host of additional specialty inspections and surveys that may be advisable by other licensed trade, technicians, and environmental specialists depending on a given properties age, construction, and other characteristics.