The rate of nitrogen inversion also correlates with, among other things, hybridization. But in cases where these "other things", such as ring constraints, limit nitrogen inversion, then the rate of nitrogen inversion may not correlate with hybridization. So the rate of nitrogen inversion does not always correlate with hybridization and is therefore not a good indicator of lone pair "availability".
It is clear that basicity of amines reduced by inversion of amines.
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