I am still the biggest fan of a large stroke random orbital polisher.
I've never used the LHR21ES and thought, "Drat! She's-a-stalling too much on the curves & bulges!"
The design of the pad makes a difference
Motor speed makes a difference
The pad diameter makes a difference
Polishing technique makes a difference
The backing plate makes a difference
The quantity and type of buffing liquid makes a difference
About finesse-polishing:
IF it is possible to fit the large stroke machine onto any particular area of the vehicle, AND the extended stroke does not make it difficult to polish the area... then I still believe that the large stroke random orbital is very tough to beat, in terms of its ability to create a benchmark finish.
Regardless the machine being used, the problems associated with finishing out soft paint has less to do with machine force and stroke, and more to do with polishing procedure, the quantity of buffing liquid being used, and the accumulated paint residue that has mixed into the buffing liquid (and has become attached to the buffing pad).
I cannot recall how many times I've engaged in discussions about finishing out haze-prone, soft, or finicky paint. Yet, by making simple adjustments to a guy's polishing technique (and without changing the machine being used), difficult-to finish paint types become not-so difficult-to-finish anymore.
As is usually the case, procedure can make or break polishing results. The best machines, pads, and liquids are obviously vital to achieving mind-blowing paint finishes, but someone's got to have the skill set to make it happen.