The advice on groups of three matched (matched triplets) is correct... that IS how the SVT operates. There is little benefit in matched sextets, but it doesn't hurt.
And, there definitely WERE matched tubes in 1969, and before....... matched sets were commonly used in hifi amps.
I explained it recently elsewhere, but the three tubes on each 'side" of teh SVT operate as one 'composite" tube, driven from a single input, with one bias voltage for all three, and one overall plate connection to the transformer, one sense resistor in the cathode circuit.
Therefore, to make them operate together, without one "hogging the current", or alternatively failing to carry it's proper share, they should be identical in characteristics.
The most usual way to get that, or close to that ideal, is the usual "matching" procedure, which assures that they are all within a certain range, at least when new. Almost no matching that I am aware of is comprehensive, over the entire range of plate and grid voltages, but it generally is sufficient to make sure they are within a small range at one setpoint.
The two groups are balanced by the "balance control" (surprise), which can compensate for differing gains between groups. matched groups avoids that issue, but isn't absolutely required.
There is NO balance control to adjust the bias and gains of individual tubes, which is why the matching of at least the three in a group is needed.