I would approach the question this way...what reasons would you have to NOT add ballast to your tires? The only good reason I have heard is if you are working a nice lawn and want to reduce tread damage.
The added weight helps with stability, which leads to more safety, which, in my way of thinking, trumps any lawn work you might do. To be fair, I am among the least interested people here vis-a-vis lawns. Any other arguments I have heard boil down to mess or inconvenience. Again, they don't come close to added safety in importance.
We are in NE Texas, from what part of Texas do you hail?