Does this mean that your geometry (including dielectrics) is different between simulations? When ADS doesn't support finite size dielectrics, you can only compare them when you use infinite dielectrics in HFSS as well.
Is the difference only in the position of the feed, or also in the length of the antenna element? If you have low radiation efficiency, does it change when you change the metal conductivity? The reason for this is that how ohmic loss is implemented in the simulator may differ per simulator (sorry I don't know the details, check the documentation for that).
What is the actual size of the antenna (to figure out whether 3mm is significant or not)? Do the current density plots look the same, and as expected (also just to check whether there is something wrong in the geometry)?