Written by someone who sells balanced phase inverter tubes, innit? I'd say he has a vested interest in promoting the idea that the two sides of a preamp tube can be unbalanced and that it is a bad thing. Can you cite anything from someone impartial?
Well...he's no longer in that business (he sold it to Fender)...but most tube resellers offer balanced and matched tubes...not just Groove Tubes.
True, a phase inverter circuit is not going to be 100% balanced by the nature of it's design...but I guess using a balanced tubes keeps the favorable imbalance limited to the circuit's intended design...and doesn't introduce additional imbalance.
I mean..it doesn't need to be an absolute 100% balanced tube...but without a curve tracer...you have NO idea just how balanced or imbalanced any random tube is going to be.
Buying balanced tubes removes some of the guesswork.
Of course...you can also just try out a bunch of tubes in the PI position and pick the one that makes the amp sound the best.

Most guys don't have dozens and dozens of tubes to try out...so for the OP...buying a nice, matched/balanced set would be the sure thing.
I like to try out various tubes and have a few of cases of NOS/used/new tubes of all types, preamp and power tubes, for my amps...along with a high-end tube tester, and bias tools/testers...etc....so I'm never "stuck" with just one set, but I certainly have come across many that just sound crappy, so I mark 'em and toss 'em back in the box.