Brent,
There are a lot of powder variations in shotshells - within one product line or between companies. In general, they formulate the powder to meet their specs / and custom mix components to get what they want - and in general, we as reloaders cannot buy the same mix or the same powders they use these days in factory loads.
Recoil is primarily a function of velocity and weight of shot charge and wad ( for any given gun ) - so if it burns fast or slow, it isn't really part of the equation - even though if you could quantify it - you could determine the effect. The way I think about it in the real world, a real fast burning powder seems to give more of a "smack" as it gets the shot up to speed vs over a longer curve - so it "thumps" as opposed to smacks you - but the pure recoil formula doesn't allow for burn rate - only velocity. Zippy gave you a better technical explanation of the burn rate issue / and he's right about looking at pressure as an indication of burn rates - and taking them into account along with velocity is important.
Most of us that reload - pick powders that are clean burning, give reliable drops on our presses, give good consistent performance in all kinds of weather - and are available. Personally, in shotshells, I use Hodgdon powders - Clays for 12ga, International for 20ga, Universal for 28ga, Lil Gun for .410 ... but some of my buddies are still using Unique, Red Dot, Blue Dot, etc ....
We are constantly debating best powders, wads, hulls etc - and once in a while it will come up on some powders seem to "smack" us vs thump ...but for the most part all of us shoot guns in the
8 1/2 lbs - 10 lbs range for clay target games / and burn rate really isn't a big deal. If someone is recoil sensitive - they drop the amount of shot down in a 12ga to 1 oz, or 7/8oz and pick a recipe that slows it down to 1150 fps / to reduce it as much as possible. So if you look at a combination of factors including velocity and pressure - in the reloading tables, it'll give you a better idea of the recoil a load will give you for any given gun.