Hibernation is by definition - saving the desktop as its current state and the shutting down the computer.
The resuming windows always appears on my Acer laptop.
" and offers a trouble shooting and safe mode"
Now this I don't know about - you are quite right to power the PC back up after hibernation using the power button as its the only way to do so.
The only difference between shut down and hibernate is that your desktop is saved as it is so it doesn't take as long to load up.
The only thing I can think of is that there's a background task or program that doesn't like being left on when putting the laptop into hibernate.