Imaro
Legend
The explanation on page 54 is that the warrior digs deep into his reserves to pull off a trick he couldn't hope to repeat until after he has a chance to sleep.
That explanation works just as well for martial encounter powers: the warrior digs deep into his reserves to pull off a trick he couldn't hope to repeat until after he has a chance to catch his breath.
And it works just as well for a monster's rechargeable power: the monster digs deep into his reserves to pull off a trick he couldn't hope to repeat until he catches his breath in a few seconds.
The only difference is how long it takes before the actor can attempt the action again. You accepted it for martial dailies -- there's no reason not to accept it for martial encounters, or for monstrous rechargeable powers.
What you're now complaining about it they didn't bother to put it into the description of encounter powers or rechargeable powers. That's an editing issue, not an issue with disassociation (as you define it).
First, I don't necessarily accept it for dailies... as was commented earlier in this thread, the very setup of the mechanics make this explanation unsatisfactory (though I do give the designer/developers props for at least making a half-hearted attempt to provide something in the way of association to the game world for them.). But the reason given doesn't line up logically with the in-game world and thus doesn't really associate with anything. It's the same disassociation that arises if one tries to claim hit points are all physical damage. You can do it but the logic breaks down and the fictional association rings false if you try to only define them in a physical sense.
Second, without there being something to actually associate these mechanics with in the game world... they are still disassociated. Now the fact that they are disassociated mechanics doesn't mean I can't willy nilly associate them with something which is what you are doing here (and what many 4e fans claim is one of the reasons that they enjoy 4e)... but that doesn't make the mechanics as presented in the book any more or less dissassociative without having some kind of association to the in-game fiction. All you've done is decided on an association you are happy with, but it is not one stated in the books.