Steven -- Both "fixed" bias (what I believe you are possibly calling manual bias) and "cathode" bias (or self bias) configurations can be used to create wonderful sounding amplifiers. Positron mentioned the potential differences in power output between the two approaches. Additionally, fixed bias designs also typically develop less distortion, as well as greater power output.
However, while the presence of bias controls typically indicates a fixed bias design and the lack of them typically represents a cathode bias design, understand that the presence -- or the lack -- of these controls does not automatically guarantee that a given amplifier is definitely a fixed bias design, or definitely a cathode bias design. A number of cathode biased amplifiers provide an adjustment pot for adjusting the quiescent current of the output tubes. A Fisher X-100B is an excellent example of this. Conversely, a number of fixed biased amplifiers provide no means for adjusting the quiescent current at all. An early Scott LK-72 is an excellent example of this type of design.
The bottom line is that there are likely two different issues at play here within your question:
From a design engineering standpoint, an output stage either operates with cathode bias, or fixed bias.
From a design features standpoint, BOTH design approaches may or may not have user controls provided to adjust circuit parameters, but fixed bias designs typically do have user controls, and cathode biased designs typically do not.
The problem comes in when a unit is judged as being one type of engineering design, based solely on whether it has user controls or not. As you can now see, that can lead to some very wrong assumptions.
This may or may not be the answer you were looking for. But it is necessary information to know, so that when you are listening to various different designs, you can make your assessment secure in the knowledge of just what the heck it is you're listening to!!
Dave