Your question is a very good one and very similar to the auto vs manual car debate.
Just like driving a manual car, the fixed (i.e. adjustable) bias offers more control.
This has been verified by many others in that if you run your output tubes just slightly before red-plating occurs, you will get the best possible sonics out of your tube amp.
The drawback is shorter tube life but whilst your tubes are running, they will provide you with the best possible sonics.
For auto-bias tube amps, your output tubes are likely to be run at the manufacturer's "safe" settings. The sonics can still be great but they won't be the best possible.
For the above reason, I also prefer an (adjustable) fixed bias tube amp coz' I can squeeze every drop of sonics out of my tube amp.