The deal was pass both the BBB and BIB at the same time. Biden himself said he wouldn't sign one bill without the other. Progressives are the only ones fighting to make that a reality.
'Moderates' aren't even operating in good faith on the BBB. They keep saying it's too expensive, but won't say what how much they want to spend. They don't agree with everything that's proposed in the bill, but won't say what they want taken out. They demand the BIB is passed now, but won't even commit to a vote on the BBB.
No. This is entirely on the 'moderates.' The president wants both bills, they both poll extremely well, and these corporate goon 'moderates' are playing games. Of course the progressives will get the blame because liberals won't ever take their side (perhaps understandably), and the media loves dikkriding corporations, dikkriding Republicans, and playing #BothSides, so of course they only want to see the corporate-backed 'bipartisan' bill.