I don't want to disable the lock screen entirely but instead to make it so that the first key press both dismisses the lock screen and enters that key into the password box. (right now the first key dismisses the lockscreen and keyboard input for the next half-second is ignored)
I haven't found a way to immediately start typing with the first key press, but if you go to
Control Panel > Ease of Access Center > Make the computer easier to see
At the bottom of the page, check Turn off all unnecessary animations (when possible).
You can hit a single key to immediately dismiss the lock screen image and start typing without any delay. (I usually hit spacebar, then start typing immediately after)