In what sense is Yousaf throwing Sturgeon under a bus?
See above - Yousaf needs to distance himself from the developing sh*tshow within the SNP in the manner that Sunak is distancing himself from the Johnson era administration, despite the fact that both were key members of those earlier administrations.
Yousaf cannot, himself, be seen to take the blame and therefore needs to pass the blame squarely onto Murrell, and of course, Sturgeon.
Any moment soon I suspect we'll see Yousaf coming out with the likes of - "blah, blah, blah, cannot comment on ongoing investigation, but we will cooperate fully, important for the law to run its course. My priority will be to fix these problems in the SNP, blah, blah, blah'