First, you need to understand the meaning of this parameter.
It is not "accuracy" or "resolution".
Assura RCX has been discontinued a long time ago, the modern extraction tool by Cadence is Quantus QRC.
In Quantus QRC, "MinC" parameter means - if a coupling between two nets is less than this value, this coupling capacitance is "decoupled", i.e. redirected to ground (or treated as ground capacitance), for both nets.
So, the total capacitance is retained, but the couplings between nets are affected.
and of course, since couplings for RC extraction mode are much smaller than in C-only mode, the effect of MinC may be quite different for different extraction modes.
Note that the regular (rule based, or pattern matching based) parasitic extraction is not very accurate - especially for coupling capacitances that are small. So, if your design is very sensitive to coupling capacitaces, or to capacitance (systematic, layout-based) mismatch - I would strongly advise to use a FS option - field solver, that is built in the extraction tools.