Here's my reference:
http://jproc.ca/sari/asd_et2.html
An array of transducers can determine depth with active sonar. They can simultaneously determine angle and range. (=depth)
This stuff predates most modern LF sonars, but these WWII active sonars could give depth, and even the aspect you were looking at the sub from.
I'd have to look at modern LF sonar construction, but I do believe they are also arrays of small transducers, so they should have little problem discerning depth.
I don't see how depth could be determined beyond the 1st CZ, but I'm not a navy guy. I may be wrong there, but that's my guess.
Here's where this guy talks operations about modern variable depth arrays... Cool stuff!
http://jproc.ca/sari/asd_mod.html
So what I'm saying is, yes. DW is nerfing EVERYONE'S sonar. To an extent.