I mean I hate to take Jammy side but this is a slightly patchy position to take.
Pool 04-05 not even the same as years after. Even Dudek who had that mad game in Istanbul did a podcast last week and told stories how Houllier came down to dressing room after the 2005 CL win to take photos with players he assembled. To which Benitez 'took offense' and basically went and replaced 3/4 of the side, because he wanted to validate himself.
They weren't a joke in cups, but they weren't the same side either. And that 2005 side was comfortably worse than the followups despite some mad results leading up to the 2005 final.
This basically
Houllier coming to the dressing room attests to the fact that the team that won CL in 2005 was his team,
it was the final stage of the team he created (and won the domestic and UEFA cups), managed at the time by Benitez
And that 04-05 Liverpool team was an average side as Morten said.
Many average sides have won CL, no need to shock about it
Now, the team that Benitez eventually built that went on to play a final in 07 and semis in 08 is a different story,
is a different team eventually.
Whether that Benitez team was any good is a different discussion