While I agree with you that a tester that cannot properly test a KT150- shows the limits of the tester, ( BTW, yours- nor any Hickok- I am aware of can test these tubes--and your KT88 spec is no good for them) it also points to the fact that they need more voltage than 400 volts to come to spec, IMHO.
I don't think the Hickok subjects tubes to full operating voltages. There is no B+ voltage adjustment for that purpose. It seems that you have to explain why 400V is specified as an operating point for that tube when in class A mode.