I have great respect for tradition but you did mention accuracy. There is no better way to adjust a load to a particular rifle than with smokeless powder choices. I have two primarily stock Savage muzzleloaders and they did NOT shoot well out of the box as Savage proclaims that they will. However with some testing and experimentation I finally discovered what loads each of them likes.
The blued barrel with a stock borrowed from a Savage short action varmit bull barreled rifle is a very nice shooter of 250 grain projectiles with the right sabot.
Shot #1 was from a cleaned barrel and all shots were taken at 100 yds in a left to right crosswind using a Weaver 4x32 shotgun scope with duplex reticle.
The stainless barreled Savage with laminate thumbhole stock is better at shooting 300 grainers but this particular range session produced some vertical stringing, unusual for this rifle and load which is usually quite proficient out to 300 yards.
I am sure that there are more accurate muzzleloaders out there but for the money you would be hard pressed to find a stock front stuffer that will produce such consistent results as a Savage 10ML. However, like most good things in life, preferred results might not come easily.
I remember the day when the terms "muzzleloader" and "accuracy" would not be spoken in the same sentence. In today's times we have choices. If Daniel Boone would have had access to an AR-15 I am sure that he would have used it. Today we have a choice to employ the use of ole' Daniel Boone's weapon or one of a more advanced technology. The choice is obviously a personal one.