There are several different possible meanings to the “new axidraw software” — if you can clarify which specific software package(s) you mean, or what feature is that you’re looking for, that might be helpful.

AxiDraw does not use a CoreXY geometry, but it does have mixed axes. It is possible to modify AxiDraw software to work with the WaterColorBot (and vice versa) — it has been done quite a few times. However, the AxiDraw software does not have built-in support for features like brush washing or automatic re-inking.