The idea of economic value is too multi-valent and arises in too many differing situations(IMO) to be amenable to a "one-size-fits-all" theory (similar to attempted 'general' definitions of property: in the final analysis, "property" is what others allow as one to treat as "property").
Functional definitions may come closest to capturing all the particular examples of either 'value' or 'property': but IMHO any general definition of these words will miss some instances.
In addition, I am not convinced that such general definitions are of any analytical or synthetical use. How would a general definition of "value" or "property" help in understanding the economy? From what I see, such exercises serve to "bake-in" assumptions: which defeats the very end of the inquiry, at the outset. A political debating trick.