If we limit the discussion to revolvers there shouldn't be any difference between the double action on a conventional SA/DA revolver and a
DAO revolver of the same kind made by the same maker.
However small revolvers with coil-spring mainsprings won't feel the same as a larger revolver with a leaf or "V" mainspring, if all other things are equal.
When using the trigger (in double action) to rotate the hammer, the further the pivot points are between the trigger and hammer, the more leverage you will get - and that makes the pull feel lighter.
Also a S&W revolver in theory (but not always in practice) has a lighter feeling D.A. trigger pull then other makes (Colt Ruger, Taurus, etc.) because of the way its lockwork is designed to increase the leverage toward the end of the stroke. Now won't that start a flame-war ...
Last but not least, current revolvers don't have the kind of fitting and internal polishing that was done years ago, but with some dry firing they tend to get better.
I suspect you have been looking at small, 5-shot Smith & Wesson or Taurus snubbies. See if you can find an older Smith & Wesson 1905 M&P (aka model 10) and try the double action on it.