In my experience my KP needs "a kick" to wake it up properly when I'm in a rush.
I've got into the habit of "double half-pressing" the shutter button as I bring the camera to my eye to get it to "come alive" so's to ensure I don't miss the first exposure.
The habit is now so ingrained I do it on all cameras, not that the others need it!
Initially I set the Auto Power Off option to Never Turn Off, (Menu 'spanner' 3, p42 in the manual), which by-passed the problem, but having lost a couple of nice shots due to flat battery (it lasts about 4hrs), decided on the alternative course.
I did ask about this issue when I first got my KP (
https://www.pentaxforums.com/forums/203-pentax-kp/412574-have-i-missed-setting-somewhere.html ) but didn't get any specific answer.
Hope this helps … do try it, if only to prove/disprove the point