Neither Mueller nor anybody on his team is "conflicted out" by the specific relationships named in the DoJ conflict regulation, 28 CFR 45.2. But the framing of 28 CFR 45.2 is not applicable. It is the wrong test.
What has to be met is the standard in 28 CFR 600, the Special Counsel regulation. The whole point of appointing a Special Counsel is to remove the appearance of bias.
The question is simple, do the people believe that Mueller's team is unbiased? That's not a legal standard, it isn't in the code book. But we can sure as heck measure it. Use polling.
The question is whether or not the people will accept the results as coming from an unbiased investigator. If the people view this collection of professionals as biased, then the team must change. Otherwise the investigation effort is a total waste.
The attorneys fail the tests of 45.2 anyway. The optics aren’t good though.