Interesting question, Peter-- and you will find the same phraseology with many definitions-- they are words used to try to generally define nouns: states, conditions, qualities, etc. I am not sure that there is much real difference. Lexicographic language is much like legal language-- it tends to be redundant and overlapping, in an attempt to cover all possibilities.
'The importance of a politician determines the respect he inspires in his colleagues' -- a quality, perhaps.
'The importance that the issue of Roe vs Wade has attained in American jurisprudence cannot be underestimated'-- a state?