I think that cadence and drawing a pipe is the hardest part for cigarette and cigar smokers to acclimate to. There are a few really good reason for slowing down. First, you don't get any benefits from smoking faster. You are merely puffing smoke into the air, wasting it, which is wasting money.. By going slower, letting the smoke drift around your mouth, you are tasting it more and absorbing the good stuff more from the smoke. It's not the actual burning leaf that you taste much of. It's the warmed leaf surrounding the cherry that is giving off the flavors, like in a cigar. A warm cigar has more flavor than a cold one. Also, you are getting more use from every sip of the pipe. The side effect of smoking slow is more Cake, which for some of us is a constant problem. The slower you smoke, the faster the cake impedes the diameter of the bowl. Smoking fast, the resins or whatever they are just gets burned up into the air.
When you watch older men smoke pipe, notice that they are not puffing billows or smoke into the air, maybe a small stream, wisps of smoke are all you see.
The best advice I ever got was to smoke your pipe on the verge of it going out.
Greg Pease has a helpful article... http://www.glpease.com/Articles/BreathSmoking.html
Also, don't sweat relighting your pipe. But, with total focus and undisturbed smoking, you can smoke really slow without as many relights, with practice. For me, it was like driving a car. At first you have to pay attention to clutch, shift, easing up as you accelerate. You have to focus on ever aspect. But, then eventually, you can do it without ever thinking about it.
I hope this helps.