All topologies do ABOUT the same trick, but depending up a number of variable a designer will chose one over a another. Hence, there is no BEST way. Usually the decision is based upon the drivers measured characteristics.
The biggest difference between the types of X/O topologies is the knee portion of the cross over.
The intent is to provide a seamless match, but due to the nature of the filter unless one opts for eliptic's a or derivative there-of (aka Joseph Audio, or Infinite Slope's)
there is substantial overlap or "blending" of the two drivers. The slope function of the different types are more similiar than different so what's left is the knew or the amount of accoustic loss or gain at the exact cross over point. For some you want absolutely flat, which is usually where the LR 4th orders are employed, again only an example. Butte Worths, Bessels ect, all have slightly different knee functions and can be used to offset notches or peaks at the X/O point.
One cans use LEAP or many other software programs to get on close, but the key to using simulators is they can only model what their told, they can't select topologies or types.
Thge skill of the designer, the choices in type, the choices in components and drivers is what allows two similiar products to sound remarkably different.
Without getting into graphs and charts, and math, thats about as close to a non technical explination as I can get.
loon