I store, load, and use our rig on a paver driveway! And I use the jacks! It's sitting on them now! 40' DP. Not an issue. As noted in other posts, it's all about how you construct the it.
Frankly, using the jacks I think help the overall weight distribution and there are 4 more points of contact with the ground. It doesn't lift tires off the ground so it should make sense for weight distribution?? The footprint of a tire hitting the ground is not much bigger, (if at all) than the base of your levelers?
Certainly use caution and the best advise is...do what you feel comfortable with and don't second guess yourself. Stress free...