A fixed connection is a SUPPORT, in which you attach a member to the earth, with no degrees of freedom. The moment connection, on the other hand fixes two members together, such that no movement is possible relative to the other member. Different softwares allow you to create supports or moment connections in which you can limit which degrees of freedom are fixed, and to what extent.
For a cantilever situation, so long as there is no stability problem in the member to which it is connected, a cantilever that is analysed as a fixed member versus one that is moment connected should be identical, since the stiffness of the member to which it connects has no impact on load distributions to the cantilever.