Horsecrap....
Every tower in the country changes the ATIS hourly,,, and it ain't that big a deal....
I do wish we could take our civilian brothers flying sometimes, just for the "see how the other half lives" side of the coin.......unfortunately, I have no back seat, and Uncle Sam doesn't fund it. But if I could, you would see how things in various SUA's operate from our perspective. There is normally a hard schedule, which is FOUO, and accessible only by participating mil squadrons (or at least those who use the range in question), and the range control folks. That schedule, could in theory, be broadcast in a form similar to an ATIS. I don't know what sort of security issues would be in question there, if any, but all other things being equal, that could happen. Unfortunately, that schedule changes 100 times a day, dependent on cancellations (weather, maintenance, others), we often don't have the gas for the full range time, or maybe something else happens like an emergency that cancels the entire event. In our local bombing range for example, you can pretty much just show up, find out who is working, and figure out a way to work yourself in regardless of whether you are scheduled or not. Maybe it is a bad weather day, and everyone has cancelled who was scheduled, but hard a** fighter pilot Bob and his flight decide to go fly anyway and suddenly have open ranges everywhere. Nobody is going to tell them they can't enter. So these are a couple examples of how there could easily be less usage or more usage than the published schedule depicts, all minute by minute changes. I might fly down to Navy dare, deconflict with some other guys down there, they leave, and I just need to get a quick strafe or two for currency and now I'm gone too. It is just super dynamic and difficult to make an accurate automated recording for. I'd guess if that were attempted, it would end up being overly restrictive, rather than helpful. Either way, just talk to the controller, and they will tell you, real time, if the range is hot. They can also tell you who they are expecting, when, and if they have heard from them yet. All useful, accurate information that will enable you to transit safely with high situational awareness. If you had UHF, you could come up on the common freq, but most likely you can't, so the next best bet is talking to the crazy old man in the control room who would absolutely love to talk to you.
edit: some of the above relates to working in and around R areas, since you and I technically have no requirement to talk to anyone in a MOA. Typically, we will activate MOA's with center, and at that point, center or approach (whoever manages the airspace) will know real time what the deal is. I don't know if this is Navy specific, but we are weird and treat MOA's like actual airspace and "activate" them, as if it were a requirement and we need a clearance to enter (which is funny because none of us, mil or civilian technically do).