I've since thought of a good use for a convex blade:

When cutting to a limit (ie. not whole section) and where two cuts must meet prependicularly, my see-saw action (I'm still in training!) normally results in wood holding within, not at the extremities. Uncertainty over the exact location of this holding wood generally results in de-passing the desired limits. Use of a convex blade at this point is of help in cutting only the wood within.