Not exactly sure about Austin (Remember, he was gone until what, October of 2000), but I distinctly remember people really getting sick of Rocky before he turned Hollywood in 2003. Maybe not around this time period (I wasn't around then), but the longer things went on, the more people got right sick of Rocky's schtick.
Not sure it ever approached Cena levels of hate though. Cena was DETESTED at one point, and I'm not sure Rocky hate ever got to those levels.
Oh yeah..they hated the Rock with a PASSION in 2001 and 2002. But the reasons were some of the worst in the history of the IWC and made fans look like complete trailer trash. They get punked out quick with any kind of logic being brought up. They loved Cripple H in 2001 as well..mostly for him being heel and giving him WAY too much credit for how well things were instead of them having the field intelligence to examine WHY and who was responsible for him appearing how he did. Well...no matter how much they hated the Rock online, it never translated on television and it led to some of the most ignorant quotes and hilarity ever on the net. In the end, it was Cripple H who was exposed as a phony by the end of 2002 who needed politics for everything they ever cheered about him and the Rock who was proven to be the backbone of the Attitude Era and when he was gone, they begged for his return like no one else. You see they REALLY THOUGHT Rock SUCKED but when he turned heel in 2003 and proved he was superior to every single talent in the wrestling history..from Flair to a returning Austin to Evolution to Jericho to Michaels to Taker to Vince to Hogan....elevated talent while displaying such superiority....they marked out like bytches and learned there could ONLY be one Rock in the end. It translated during his whole heel run too as they marked out for him on damn near every single show. At the end of Backlash 2003, he left to a standing ovation and by the end of 2003, when he came out to save Foley, he was getting ALL TIME level pops that no one could match in the industry anymore.