What's confusing me is those bias probes. ... Do those probes actually take plate current? 450V on leads??? Or cath current, and using them plus their formula leads to colder bias?
I'm with Sluckey on this. I'm not bothered by the inclusion of screen current in cathode current when biasing.
FWIW, I don't bias amps much, even when I built them to have external pin jacks and trim pot adjustment. I just play the amps as long as there's not obvious overheating. When I was first starting out I was much more concerned about "perfect bias" than I am now. My opinion now is you have to get bias very-wrong to have any real impact on the amp's sound, and overheating in use is the biggest issue that bias resolves. However, I do want a bias supply to function flawlessly.
The recent exception was a vintage amp I acquired recently. I did check it to assess its overall health, and the 6V6's were running a little hot (B+ was high due to 125vac at the wall instead of 110vac). The amp has non-adjustable fixed bias, and I brought it to a happy place simply by running it on a variac delivering 110vac. I then selected a pair of 6V6's from among my stash that idled about-right, rather than modify the bias board.
For this amp, I did use the OT shunt method of plate current measurement because there were no already-installed 1Ω resistors. Process was power off, clip meter leads in place (looking to see the insulated jaws to prevent contact with adjacent socket pins), power on, read current, power off, move meter lead to other tube, repeat.
I'm not saying anyone else should go that route, but the amp does sound (at least a little) better with 110vac on the power cord, B+ voltages are landing where they should be according to the schematic, and the tubes are running happily.