The only potential hurt would be if you got so many softs that it split your file. But that's more likely from pulling your own reports, which loads up the softs something fierce.
Or I suppose if you had gotten AmEx or one of the other hyper-vigilant CCC's, and you were in the process of maxing out your other cards, you might get some AA from it. But that would be due to your actions, not due to the existence of softs.
* Credit is a wonderful servant, but a terrible master. * Who's the boss --you or your credit?
FICO's: EQ 781 - TU 793 - EX 779 (from PSECU) - Done credit hunting; having fun with credit gardening. - EQ 590 on 5/14/2007