Not to be argumentative, but I am genuinely curious...when I took the MSF basic course, the instructor advocated either the "push harder or stand it up and brake straight ahead" point of view. His reasoning was that, if you haven't yet used up 100% of your available traction, then you can still turn tighter; if you are at 100% then you don't have any reserve for braking. I see two flaws with that viewpoint, however. First, I've dragged the pegs on my bike (not often, but I've done it), which tells me that ground clearance, rather than friction, is what limits my lean angle and turning radius. Second, Second, as you slow, your turning radius decreases, so it seems to me that braking gives you more options and more rom to turn and less severe penalties if you do try, ahem, inadvertent off-road excursions, shall we say?
Am I on the right track here, or did I miss Nick's point in the original post?