Longgc, no idea when they will touch your case.
This morning I had called Customer service but as expected the call was useless.
After I read your and pradha's message, I signed for the e-mail status update at USCIS site. The last update date for me is Jan 28th.
LongGC, earlier I was seeing regular EAD filers getting approved in 45-60 days or less whereas nothing happeneing for EAD E-Filers.
Since yours has been touched on march 23 rd, looks like things have changed for e-filed EAD recently.
Cos Vulture too e-filed after mine but got approved too.
I don't know what happened kamal_m's case but GC6020 went for Interim EAD. These are cases of 2 individuals who had E-filed before me and were waiting for a while.
Overall , I will suggest to EAD filers, NOT to E-FILE