As is well documented, GeoDa does not use the actual weights in a distance weights file in the computation of
spatial autocorrelation statistics., Only the existence of a neighbor relation is used, i.e., only a binary relationship.
The main reason for this is that in an exploratory approach, the weights should be kept as simple as possible, in
order to avoid putting too much structure in the analysis. This is different in regression analysis. The PySAL spreg
module is much more flexible in that respect.
GeoDa does have the functionality to create inverse distance weights, but the weights are not used.