There are two things I’ve noticed while smoking different tobaccos of different dryness (aros, English, Virginia) out of different pipes (briar, meerschaum). First: relights in most cases coincide with the number of layers you put while packing. Three step method - two relights. Frank’s - one or none, airpocket - one or none (mostly none). Second: your pipe might also get too hot if you don’t puff enough, let it rest too much, not only from fast smoking. So, a certain balance is necessary. Have you noticed those things? Or are those conclusions based on experience of me doing something wrong?
Just my two cents here.
1. I haven't noticed a correlation with the layer numbers used when packing a bowl to give any indication as to the number of relights needed to smoke the entire bowl. I pack as I do. I don't know what method you'd call it. I put tobacco in, tamp with my fingers till I like the density and add more as I feel it needs to fill the bowl and maintain the density desired. (I of course do this by feel so it is hard to describe really.)
2. I find that if your pipe gets too hot to the touch then one is smoking it too hard. It is far better to slow down, let the pipe stay relatively cool to the touch (IE you can hold it in your hand relatively comfortably for extended periods of time) and relight as needed than to fight that ember to keep it going.
What I have found is a correlation between relights and the cut of the tobacco. Pressed cakes, ropes and flakes tend to require more relights than do shags, ribbons and crimp cuts. I usually take my fingers and break up those kinds of tobaccos the best I can, or until I get the constancy I desire.
I am rather fond of Mac Baren's Dark Twist and find it smokes best for me if I take a few disks and rub them in my palm until they appear like long ribbons. I will then pack these into my bowl and find I don't have to relight it very often. It also mixes up the lighter and darker colors of tobacco making the smoke more consistent than merely breaking up the disks.
Dark Twist must also be smoked slowly or it will give you tongue bite. So I generally end up relighting it a few times.
An other correlation is between relights and a bowl is the size of the bowl too. I find that for me, smaller bowls usually require fewer relights than larger ones. I can't imagine trying to smoke a MM General without relighting it at all. But a much smaller bowl like say a MM Shortstop or MM Huck Finn might not need to be relit at all.
Edited for grammar and clarity.