The NOS 5Y3GT's get WICKED hot.
So the getter hasn't gone all powdery white?
Other than that (assuming they're conducting properly) each 5Y3 plate can be assumed to be seeing the VAC x [the forward current (which equals the HT load)]/2*.
*It's 'divided by 2' because the forward current only gets pulled through each plate during the positive part of the VAC cycle (for each plate).
Also (in terms of Rob's chart**), the 5Y3 cathode is connected to the reservoir cap, and will be sitting at B+ VDC, with the positive peak of each VAC pulse from each alternate plate cycle making the plate-to-cathode voltage difference.
**So the way it is recorded on the chart that you have attached from Rob is 'wrong' for rectifier tubes.
What's more, the rectifier cathode only sees the full forward current from both plates during the 'charging current' part of the reservoir cap's charging cycle. (This isn't over the whole DC cycle, because the
charging current doesn't occur constantly throughout the rectified positive pulse cycle. The charging current stops after the reservoir cap's peak charge has passed, and only kicks in again after the reservoir of charge in the cap has discharged to the point where it falls below the next rising VAC pulse from each rectifier plate (at which point, another burst of charging current occurs as the rise in positive voltage pulls more electrons from the positive pole of the reservoir cap, until the next rectifier plate VAC pulse peaks again, and so on). So each burst of charging current is shorter than the full VAC cycle, and therefore is more intense than the 'average forward current', because it has a shorter time to do the amount of work needed to get the reservoir cap back up to peak charge. The more worn out the rectifier tube is, the less robust it is likely to be in being able to meet these demanding pulses of charging current. Also, the bigger you make the reservoir capacitance, the harder the rectifier tube has to work during the charging current part of the cycle to get the cap up to peak charge. Hence we have an upper limit for reservoir capacitance on tube datasheets.