As HD said, I have only used the PC standalone stereo version but in my case Dirac Live has more bass vs Audyssey XT32 based on their default target curves. You can see some of my FR graphs
Dirac vs Audyssey XT32 shown below.
View attachment 56907
If you have already read the available tutorial videos and the user manual, you should be able to do it right but do check/try the following.
1) Make sure in the volume calibration step you set the master volume high enough, I think I had my set to about -13 dB.
2) Use REW to see what the actual frequency response is, then you will know if you ran your calibration right or messed something up. If the REW graphs look similar to those shown by Dirac then you just need to custom the target curve to your liking. Personal preference is by nature subjective, may be you just happen to prefer what Audyssey XT did to the bass in your room/speakers.
3) Contact the Dirac help desk and ask any remaining questions after 1) and 2).