Which is more important in academic promotion: getting funding, or its secondary effects?
I think this is largely moot. Alice will only achieve that large amount of funding by being productive. If Bob is sufficiently productive, and in a place where external funding is important, then he will likely attract such funding since he would be foolish not to seek it. In that sense, productivity trumps funding. 

But, again, the world of academia is very diverse. Some places external funding is an extremely important factor (maybe THE factor) in getting tenure. Other places not so much. But in research universities you need to be productive and to help others (students) be productive. 

And it may be much more important what a lab overall is able to produce, not just the PI.