Couple of thoughts:
First, check the possible shared name list AND the whole name list for possible quirky spellings. I have a 3rd Gr Grandmother who was probably illiterate. The marriage record has her last name (Fraiser or Fraizer) spelled phonetically as said with a heavy southern drawl. I have 3 possible cousin matches to the same Frazier family living in the same region where she was born. Needs more research.
Second the "other company" has its own issues. Yes you get the raw data but many of the subscribers are using the health aspect not the genealogy aspect and don't know or care who their grandparents are. Plus there are very few uploaded GEDCOM files. All the companies have pros & cons.
Third, I would settle of a SEARCH function that included private trees. That way if they are part of one of my 'lost' or 'brick wall' families, I could request to see their tree. I have had one hint to a private tree and he was quick to allow me to view it. Or they should have the option of making a tree private to overall Ancestry and public to the DNA portion.
Last, I do know how to read raw data and am patiently awaiting to see it so I can evaluate some of my matches with conflicting data. It would also help to evaluate matches when I appear to have more than one from very different lines.