Sorry, knarfj, your question has no straight answer.
I've been working with both DD and concentric searchcoil designs for over 30 years, and both designs are still with us. For the last 15 years or so I've tended to favor DD coils but not necessarily for reasons you've cited.
You can hand two experienced beeper users identical machines with identical searchcoils, have them search in the same area, and one will say it goes 6 inches deep and the other will say it goes 9 inches deep. And both will be telling the truth. They just happen to disagree on what "deep" means to them personally. Now if they were swinging concentrics and you substitute DD's what do you suppose will happen? Nobody knows until it does happen, and even then folks will argue about the results.
If you have a concentric and are being tempted by a DD, the only way to know whether you'll like it or not is to get rich enough to buy one, and then take it for a test drive.