Sycamore, "burning rate" is ambiguous. The instantaneous rate at which gases are being produced (the "rate of burn") is a function of deterrents, kernel geometry, and the current pressure. So, yes, pressure is a big factor in that sense. However, "burning rate" is more generally looked at as a relative measurement: Can you put more of this powder or that powder in the case and not exceed the pressure limit?

In this sense, deterrents and geometry are quite important. You want their combined effect to allow the afterburner to kick in, so to speak, once the bullet gets going. Once the bullet is moving along, it's leaving behind an ever increasing volume which must be filled with gases if one is to maintain maximum acceleration. The combination of case size, bullet inertia, and bullet engraving and friction all effect how fast gas production must be at any bullet position, and whether a particular powder will be optimum in its gas generation is not simple to predict. All of these factors combined affect the apparent "burning rate," and for this reason one can not construct a reliable rate table--the problem is far more complicated than a simple ordered list.