Then every single person I sell an amp to has to send me their tubes in order for me to set the filament voltage to not deviate substantially, then I need to write a manual on how to open the amp up, hook up a multimeter, and make adjustments if they want to roll tubes or if their tubes wear out. This seems like a huge mistake for an amplifier designer, but I haven't been doing this all that long.
Not necessarily. The simplest of Current sources yes but with a little more work it can be done automatically like with Tent labs filament supply.
Also not true. For example, I used an L200C regulator in a past product and set the maximum current output to 2x quiescent current, but the chip itself is setup as a voltage regulator.
Yes it's a voltage regulator and you still had 2x quiescent operating current.
A voltage source will short the cathode (audio signals) since it needs to be decoupled through a large electrolytic capacitor for quality sound. A current source will not short the cathode since it intrinsically has a high output impedance and will not affect the AC signal.