When testing with tone you should consider the source impedance. You are likely driving the output directly with a much lower source impedance than the tube provides (which improves transformer response), so you have to simulate the tube source with series resistance when testing if you want a reasonably accurate comparison. An accurate test of a 20K:600 transformer driven by a low-Z test source would involve 20K series resistance between source and primary, and a 600 load resistance on the secondary. I think that is the discrepancy you are seeing.
Transformer specs are not always as they seem. Consider many modern pieces that specify something like 10K:600, but then also specify a maximum recommended source impedance much lower than the impedance ratio. Many pieces require a lower Z drive, but do not tell you so, only assume you will do so. I've found 10K:10K iron from the 1980's that only approximated the stated frequency spec when driven with something around 100 ohms source Z. The assumption is for SS drive. OTOH, many vintage pieces specs mean exactly what they state, because the assumption is they would be driven by tubes having higher output Z.
The feedback loop in the BA-11A lowers the drive impedance of the output tube. The BA-2A has no such mechanism.