> controlled heater warm-up is definitely something required of a tube used in a series string.
No, it's not.
Yes, a very few odd tubes did give trouble in series strings. Most tubes played well together. The original AC/DC radios used perfectly ordinary tubes not rated for series use, and worked well.
Also, most 12V tubes WERE aimed at series-strings. 2.5V and 6.3V tubes were mostly aimed at parallel operation. The standard US 5-tube radio was three 12V tubes, plus 25V, 35V, or 50V power and rectifier tubes. The 12A?7 and similar 6V/12V tubes are obviously aimed at both markets. And when such tubes became the BULK of the total tube market, most heaters in all tubes used similar construction and had similar warmup.
But someone found a failure and blamed it on unequal warmup. There was a rush to specify heater warmup rate and certify tubes. That is some (but not all!!) of the "A" suffixes. Truth is, that TV sets did many crude things to tubes, tubes failed, and not due to unequal heater warmup. It was a fad.
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> mildly surprised to hear of series heaters being used in {a guitar amp}
It's a Peavey, but not a guitar amp.
The logical reason (today) to go series is for DC heat. A 6V DC supply is wasteful due to the 0.6V-2V diode drop and too low voltage for standard caps which often stop at 16V. A 60V supply is more efficient and can use 100V caps well. Series DC heat makes tube-on-PCB possible: one wire between tubes (instead of two) and no buzz problem. AC parallel pretty much demands hand-wired flying heater leads (or a 4-layer PCB, which is way too costly).
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The heater-cathode voltage breakdown rating refers to a thin layer of baked clay between heater and cathode. If it's good, it's good; if it breaks down it is a heater-cathode short and usually a total failure of that stage.
The 12AT7 was always marketed as a VHF tuner tube. For various reasons, series-string systems always put the tuner at the bottom of the string. Heater-cathode voltage was just a few volts. Usually one heater pin was bent over and soldered to the chassis, as both heater return and RF shielding. While 12AT7 was used for many other things, apparently nobody ever asked for the generic 12AT7 type to be re-specified for higher heater-cathode voltage. Julie/Burr-Brown were using the 12AX7 at extreme cathode voltages so it did carry a high rating.