I'm A Banana
Potassium-Rich
You play a BM because you want to use BM abilities, and enjoy making tactical choices. You chose BM because of that, not Champion, which is for the mindless roller. If you can't use your abilities regularly, however, your performance will be markedly inferior to the Champion.
If you enjoy making tactical choices, why would you not enjoy the tactical consideration of when to use those abilities? A limited-use ability is more tactical than an unlimited-use ability because using them or not is an actual tactical choice and not just an automatic thing. If what you're looking for is tactical gameplay, wouldn't the idea of controlling the timing of your spikes and valleys appeal to you? And if that idea doesn't appeal to you, you're removing an element of tactical choice, so in what way are you pursuing tactical play?
Whether you can use them regularly is entirely in the hands of the DM in the Alpha Playtest (it was not in any previous playtest, where you could regain dice more easily). No other class that I'm aware of is this dependent on getting Short Rests just to use their DEFINING abilities.
According to Basic, all rests are still something that the party chooses to do, not something the DM chooses to do (though they are all things the DM can choose to negate), so they still seem in the hands of the players to me. And most characters are dependent on LONG rests, which, if short rests are so onerous, must truly be a hassle to get.
What's particularly stupid is that if you run a day, where, say, the PCs get one short rest before the long rest at the end of the day (which seems pretty likely with a 1hour Short Rest), then a mid-level Fighter is going to get 8 uses of his dice AT MOST over the entire day, whereas a Wizard or other caster could cast a dozen or more spells (maybe a lot more!), not including Cantrips. Given how low-powered and relatively unreliable most of the uses of Battle Master are, that's a pretty big problem.
You're putting a LOT of weight on Alpha material that it was not designed to bear.
(Also, declaring yourself "ruthless" because you like longer rests is perhaps the most hilarious "INTERNET TOUGH GUY!" thing I've read all day. It's almost endearing!)
...and you don't quite see how that being a ridiculous statement also implies that your claim that short rests being difficult to get is somehow harmful to short-rest-recharging class abilities is itself kind of ridiculous?
Guess the intent of the facetious exaggeration was missed. I can be more explicit: Maybe you are working up a good head of steam over empty theorycraft here, is all.