Used to be that most of the die makers sort of took the approach that most people shoot cast or jacketed for certain calibers and thus built the crimp dies accordingly.
Lee had the different idea with the "Factory Crimp Die"
Nothing wrong with any of the above and as end users we selected the crimp that best suited our choice of bullets.
Usually a "Roll Crimp" for the cast and a "Tapered Crimp " for the Jacketed bullets. But not always. Redding came out with the "Profile Crimp" and it became popular with the AR crowd, as consumers got away from just the 223 or 5.56 in the 55gr standard stuff. As heavier calibers came along and as Handgun Hunters sometimes looked for an alternative, it seemed to make sense. Some of the bullets offered for the ARs do not have a cannelure. The "Profile Crimp is sort of a combination of the tapered crimp and the "Roll Crimp".
While a Roll crimp works good on a crimp groove and a tapered seems to be fine with no Grooved bullets, The profile will handle either. And if no cannelure is on the bullet and you do not have a cannelure Tool, then the "Profile Crimp" will work and usually it will work good.
When adjusting the amount of crimp, it is best to adjust just enough to do the job.
Going overboard can result in an unsatisfactory result. It is possible to over crimp and thus squeeze down the bullet to the appearance of a Heeled Bullet. Good Bye Accuracy. So when crimping bullets, go slow and be careful not to over do it. (Especially with a Profile Crimp) The profile Crimp is capable of squeezing a crimp groove into a jacketed bullet. There again it is unwise to do so.
I prefer to Seat first and then Crimp bullet in a separate Step. I feel this is more accurate and is better suited for myself, when seeking optimum performance.
I might point out two things and that is that Redding felt that cannelures in rifle bullets hinder accuracy so this was part of the reason for the Profile Crimp. There are a few other custom die makers that do the same crimp. Not sure who was the first.
I also did not mention Reddings Competition dies, or Wilson Dies (chamber Type)for Bottleneck cartridges,,,Both of which I use and enjoy. But those are not for what I was comparing today.
I did play around with some crimps when I first got a profile crimp die and have a few photos of a ruined bullet that was ruined and squeezed down on purpose just to see how far the crimp could go. I used my collet type puller to pull the bullet. I doubt a kinetic puller would have succeeded.