I have my Harbeth 30.2's (Larger, but similar to your Rodgers) on 28 inch stands on hardwood floors. I have springs between the speakers and the stands. I have a sub on the same floor and put springs under it also. It made a nice difference, a bit clearer/open sound. Yes, you should try it both ways to be sure, but I have no doubt you'll like the springs (which are inexpensive, or you can try a fancy "brand type" if you want) between the speakers and stand.
Hope my similar experience helps.