I do not claim to know whether one is superior to the other in terms of bit accuracy.
I do know that the free version of EAC is much more tedious to use than dB.
I used to ask people and always got one of the two, as answers although I think there are others too perhaps in the Apple Mac world which I am not a part of (that may change because thanks to Kirk Bayne I am interested in StereoLab and Pure Vinyl looks like it's the dBPowerAmp of vinyl ripping.).
Having used both of the above I prefer dB because it's like a robot that enters everything whereas EAC you have to type track names. In convenience there seems to be no comparison.
The author of EAC has a CD drive hardware testing program if one is really OCD. DAE Quality
DAE Quality » Exact Audio Copy