His public polling and support is still pretty good. My unemployment benefits as a freelancer don't end until September, which is when they were always intended to end.
The media will always use right wing framing. But as many articles have noted, Biden is teflon and the right has been unable to lay a glove on him so far. As it is though, no, at present there is no general consensus forming in the mainstream media that the jobs report is bad for Biden. Politico doing its usual concern trolling of Dems, which is all it has done since its inception under Mark Halperin (now exiled to Newsmax), does not mean that the mass media focus is that or the public has bought it. Because that's not the case. Politico does this all the time, but only certain narratives take hold in the larger public.