Yeah...apart from Don they're batting lineup just wasn't better, McCabe or Ponsford are the ones among the few worth mentioning I guess.
Early in the period Macartney is definitely worth a mention. Went from being an all-rounder pre-WW1 to a very effective batsman after it. He only played some of the series in that half dozen year period after the war though. Ryder was good too but again didn't always play. Collins was solid. Bardsley was getting on a bit and definitely was better earlier in his career.
Woodfull was a good batsman in the middle portion of the period, though obviously not in the same class as the three great English openers. Brown was good and Fingleton solid during the letter period. Australia's main problem during the period was Kippax and Richardson not even coming vaguely close to reflecting their domestic levels in Tests.
In my opinion, Australia had the wood for the very early portion of the period, when their batting was still good and Hobbs had his injury then the appendicitis which nearly killed him. England took over and had somewhat better batting for a bit then considerably better batting for the brief period Hammond and Hobbs overlapped.
Around 1930 England lost Hobbs and Bradman got good, with the addition of McCabe also significant. Imo these factors led to parity again here, and then briefly supremacy for the 1934 Ashes when England had to have a relatively mediocre batsman captaining again post-Jardine and Sutcliffe was clearly in terminal decline. Woodfull and Ponsford swiftly retired though, and England probably had slight supremacy for the next couple of years, though im not sure. The English sides could seem a bit threadbare in the mid 30-s too. This obviously changed with the arrival of Hutton and Compton, plus the reinstatement, and unexpected success, of Paynter meant that England had clear supremacy again immediately pre WW2.
Overall I do think England had, on average a better batting line-up during the inter-war years but i don't think there's much in it. Kippax averaging the mid-high 40s he probably should've would be enough to make it parity imo, given how ridiculous Bradman was.