As much as anything, because Freddie Green never did a solo.
Page, Jones and Green chunked away, flat out, and never lost their
impetus whilst the guitarist went into solo mode. Also he was on an
acoustic guitar which has far more drive than an electric model.
With respect, Bill Basie's piano was really an embellishment and
not essential to the power house of the rhythm section. Although it
doesn't necessarily apply to this band, one of the biggest mistakes
a rhythm section can make, is when a pianist is doing a driving
shuffle rhythm, then decides to do a solo - the whole thing just
flops.