Agreed on all points. For designers, it definitely makes more sense, and most players will love it to no end - heck, no long-term accounting? I can use my main "big gun" several times a day? Bring it on!
For me, it's just that "catch your breath for a few minutes thing" that bugs me. I'd even get behind a system that refreshes you in a few hours (I love both the VP cost for Force powers, and in d20 the True Sorcery/Black Company spell system, for example). But not even a marathon runner can run a four minute mile, rest a minute, run a four minute mile, rest a minute, and run it again. If he caught his breath for a short while, then he could, but it tachs out my plausible-meter a little too much.
In Star wars, when a Jedi rests or trances for a few hours, he's good to go again, but I can't remember a scene in the movies where a jedi took a minute break and was as good as new again; maybe Qui-Gonn, but I'd have called that scene with the energy fields separating him and Darth Maul as more of a "take the opportunity to bring up some more powers or bonuses" than a breather that restored them both --otherwise, Qui-Gonn probably wouldn't have lost.