The pax have paid for two professional pilots, they know that one is more experienced than the other, but on takeoff only one gets to make a crucial decision...
@ hampster
This is not always true in all airlines/charter companies your thinking and comment, sometimes I have sat left seat when the right seater is a person who was flying while I was still learning how to crap in a crapper! But you are correct they are paying for 2 professional pilots, they are trusting their lives with both of you as a team doing your jobs. Also most places I worked either of us can call the abort on takeoff (I know this does differ in some companies and aircraft for differing reasons)
I agree 100% with the comment ""I have a strong preference for figuring out what's going on while moving away from the ground rather than toward it." This very situation happened the other day on short final when got a inboard brake fail cas, went around fixed it , landed normal.