I don't how the PHB final version will be, but IIRC the playtest version was "bugged", because it said you can spend an action to regain one die, or regain them all with a short rest. Which is very stupid, because it doesn't take into account the time between the end of the combat and the short rest... you need just one action (i.e. waste one turn doing nothing but move) to get one die back, technically you can only take actions during a fight, why the hell can't you get more dice back when you are in an intermediate situation?
That's what I seem to remember from the playtest, but maybe I remember it wrong.
In the Playtest, yeah, but in the Alpha PHB it's short-rest only. Hope it doesn't stay that way, because that is very weak.
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You understand this problem basically fixes itself?
If someone is too afraid to use limited resources, they'll be attracted to versions of the class that have unlimited resources -- like the Champion. Then they won't have to worry about limited-use abilities.
If someone thinks they can use their limited resources smartly, at exactly the right moment, they won't be worried about the limited resources. And the fact that they ARE limited makes the choice to use them interesting and significant, adding a time-bounded tactical element (Do I want to use them now, or do I think that I might have a fight where it would be better used down the line? What's my intel on the future here?).
I understand that you don't understand why this is a problem, actually. Which is sad.
It absolutely does NOT fix itself. 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.
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.
So you really seem to have completely missed the boat on that one. 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.
If you want to play a Fighter and be tactical, Battle Master is your only option (it sure isn't Eldritch Knight!), but unlike all the other classes, it's Short Rest dependent. It's a bad design, frankly, with the default 1hr Short Rest. They'd have been better off making the dice a Daily resource with a much large value so that it was a lot more reliable, and just limit the usage rate. If they had, say, 3x or 4x as many dice, but could only use 3/4/5 (depending on level) per combat, and they only came back on a Long Rest, Battle Master would be a far more reliable class, and not "in the hands of fate" as it were.
(Plus this leads directly to a stupid "Fighter needs another lunch break!" SoD-breaking scenario, where the poor ol' Battle Master is begging to get out the picnic basket after every serious fight, where the other classes have very little to gain from it)
(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!

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