If Fuller House were to pay homage to the Full House episode were The Beach Boys guest-starred, then they could have No Doubt or Blink-182 on and it would make sense timeframe-wise.
The Beach Boys guest-starred on Full House in 1988 (which was 20 years removed from 1968, when they were still a big rock band), while 20 years ago, in 1999, both Blink-182 and No Doubt were big alt-rock bands.