You can use any valid properties (and their expected values of course) when using FindChild, FindAllChildren, etc. They don't have to bear any relation to what you used to map it.
I'll leave the automatic mapping question to someone else. I never use it and pretty much accept I need to manually control the mapping properties for anything I use in the object map if I want it to remain reliable.
I haven't played a lot with it but I think there's a concept of mapping templates of some sort where, depending upon the type of object, it will select the desired properties.
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