I like the Lyman M-die very much and have one for just about everything I reload regularly. Very consistent results and minimum working of the case mouth for seating and crimping operations.
I have always followed the old rule of roll crimp for revolver, taper crimp for autoloaders and this is a good general rule. Cast bullets intended for revolver use will always have a suitable crimping groove. Cast and swaged lead bullets without crimp groove can usually take a moderate roll crimp, biting into the lead enough to secure the bullet.
Jacketed bullets without cannelure cannot take a roll crimp without damaging something (sometimes buckling or bulging the case), not a practice to be recommended.
My experience with plated and coated bullets is so minimal that I cannot comment usefully. Others will be able to help more, and consultation with the bullet maker could be helpful.
Major advantage of the taper crimp, in my opinion, is that the results are not as dependent upon exact case length uniformity. Generally any case that is within tolerances (minimum-maximum overall length) can be used satisfactorily.
Case length uniformity is more of a factor with the roll crimp to achieve consistent results. I start each batch of brass with trimming to minimum OAL and keep those batches together throughout their useful lives. The general theory is that consistency has positive effects on ignition, powder burn rates, and accuracy.
A final thought to keep in mind is that anything manufactured in large quantities will have variations in every dimension due to manufacturing tolerances. This applies to firearms, reloading dies, chambers, throats, bores, grooves, cartridge cases, bullets and everything else involved in this sport. There is no such thing as an absolute rule from one manufacturer to the next, or even within each production run (tool wear factors in). These variations are usually very small, within the accepted range of tolerances, but it is possible for tolerances to "stack" (i.e.: a combination of minimums or maximums in several pieces and parts). Even the base materials (steel alloys, brass alloys, lead alloys, etc) can cause minor variations, and all can change depending on ambient temperatures (smaller when cooler, larger when warmer).
Every combination will give different results, and every time any single component is changed there will be a need to start from the beginning all over again.
Probably the most difficult concept to absorb for new practicioners. Just because the SAAMI spec is 0.357" does not mean that every single item will be exactly 0.357"; one manufacturer's tolerance range might be 0.3562" to 0.3580", and another manufacturer's range might be 0.3555" to 0.3585". Most commercially available components, dies, and firearms will be pretty darn close, but occasionally we can find ourselves dealing with enough tolerance variations to make us a little crazy.