This one is tough to quantify, but I definitely see a difference. Keep in mind I went from P45+ to P65+, so cannot comment directly if the experience with Hassy would be the same, but I am convinced it is a trait of the sensor, not the in-camera processing. For me, what I notice most are all subtle, and could generally be summed up by saying the Dalsa files look less digital than the Kodak files, being smoother in the hue and tone transitions, all while retaining excellent inter-pixel contrast. Normally I would chalk this up to the higher resolution, but I've noticed the same thing when I compared Leaf 75s (33MP) files to my P45+, so I'm convinced it's a Dalsa trait.
I did get closer with my P45+ by upping color NR and reducing Lum NR in my raw processor, and frankly probably so close it would be tough to see in a print, but the difference is definitely still there at 100% view.