In the larger revolvers S&W should (but doesn't always) have a better stock trigger, and it can be cleaned up by a smith to a much nicer trigger than the Taurus could ever hope to have. The larger (K-frame and above) S&W revolvers use a leaf mainspring, Taurus uses a coil mainspring (like Ruger). There is an advantage to the coil spring, it is supposed to be more durable (but with some S&Ws many decades old with the original springs sometimes I'm not sure that extra durability is needed), but there is a cost in trigger pull and smoothness.
In the small framed snubs (which you asked about) both Taurus and S&W use the coil mainspring. So, theoretically, they should be able to be tuned to a similar level (with similar aftermarket mainsprings). For whatever reason, many people have been noticing in new production S&W J-frames the trigger isn't as good as in the new production Taurus small framed snubs. I've noticed it myself. I can't tell you why it is, only that it seems to be the case.