6D shutter button question.

The question is whether it's alright that my 6d won't focus if i press the shutter button fully without hesitation?
I mean, usually i PREpress it to let my camera focus, then BEEP-BEEP and you can shoot, but recently I noticed that on 5d mark III one can just press the button straight down and when the focus is locked it will take a pic.

If I press it like that the camera just stops searching focus points, neither takes pictures.

Though when I press it just a bit smoothy it's alright because there's enough time to lock any focusing point.
 
I'm asking this silly thing because there are days when I have to lift my camera up and take pictures without actually seeing my viewfinder, and I press the sutter button fully expecting that the camera will search for the focusing distance and the take a picture, but it just stops doing anything. It searches AF points only when halfpressed
 
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