There's no reason to get rid of Alan, Jay, or Ted in the comics, or any other characters on the the team not featured in the tv show or the rumored Black Adam movie. They might treat the characters currently featured in the show and movie as main characters or leads, while the rest of the team may be relegated to more supporting roles, but there's no reason for them to completely purge the team in the comics of characters not being currently featured in adaptations. You're presuming a very myopic and limited viewpoint of which characters they're willing to promote and develop.