Science-Curmudgeon, maybe you could clarify your statement: "I can always recreate the issue on power up by pressing the power button and releasing it before the apple logo appears." The OP is talking about a problem experienced by hundreds reporting here that the iPhone appears just dead, no matter how long or short you hold the power button. That is, unless you discover the kludgy workaround of the multiple, carefully timed series of key presses that Apple itself has not announced or documented.
Are you saying that if you release the power button before the apple logo appears, then the phone is dead to any subsequent power button presses until you do the multiple key presses in quick succession? This would be serious, since accidentally letting up the power button too soon happens to all of us sometimes.
I originally had the OP's problem exactly. Somehow, after one or another iOS updates (written about earlier by me), the problem disappeared for good. Now, if I don't hold the power button long enough to see the Apple logo, it doesn't cause any problem. I just hold it again until I see the logo and get a normal startup.