My initial look at cases on appeal to the Ninth Circuit show a majority of the case affirm dismissal if the District Court orders it.
"The district court may dismiss an action for failure to comply with any order of the court. See Fed. R. Civ. P. 41(b). A trial court's dismissal under Rule 41(b) will not be disturbed unless we have a "definite and firm conviction that the court below committed a clear error of judgment in the conclusion it reached upon a weighing of the relevant factors." Ferdik, 963 F.2d at 1260.
Price v. United States DOJ, 462 Fed. Appx. 694 (9th Cir. Ariz. 2011)"
The one case in my cursory look overturned the dismissal because the trial court did not consider the relevant factors (cited in the motion) for a Rule 41(b) dismissal.
My overall take? It is going to be up to the judge. But, I would not be surprised if either the judge dismisses, but more likely, lays out a stern warning with strict guidelines for IB/counsel for IB to abide by...and if they miss complying with those guidelines/orders, then a 41(b) dismissal may be in the offing. The other alternative that I could see would be dismissal without prejudice (though, for reasons of judicial economy, I think this is not a first alternative). However, I do think dismissal with prejudice is definitely on the table.