I would say Jeri-Show is highly regarded. Jericho had it tougher as well because tag team wrestling didn't mean shit post 2001 in Vince's mind. You can't compare Jericho's era of tag wrestling with Bret and Shawn.He is a tier below the likes of Bret Hart and Shawn Michaels and the reason is he doesn't have the tag team legacy that these two have.
And before you say, wait he is a 7 time tag team champion. How many reigns were memorable? 5 of those reigns were with completely different partners.
To truely be great, he should finish his career with a memorable tag team run with Sammy Guevera. If he can be on top of the company with the best tag teams competition, it will push his legacy up on the same tier as Hart and Michaels.