I agree with the comments about vinyl, I can't understand the sudden fascination by a small percentage of the population for old low spec technology?.
However, as for the actual discussion - both techniques have been used in countless amplifiers over the decades, and essentially there's no 'best' method, some of the best sounding amplifiers of all time were relatively crude, and long pre-dated Sziklai pairs.
Technically the Sziklai pair has a number of advantages, and the only reason it wasn't used more was that high power PNP transistors weren't available, and then those that were cost a great deal more, so weren't used. The standard technique was quasi-complimentary, so as to use NPN output devices, and many such amplifiers are still well regarded today.