When installing hardware, it is important to have precise control of the location of the pilot holes for the screws. The options are to start with a mark made by a scribing point or awl, then use that to locate the drill bit, or drill the hole directly without a preceding mark. Here is my approach.
I mark first, and most of the time, I try to center the mark in the countersunk hole of the hardware. Sometimes, however, I will intentionally very slightly decenter the mark to laterally “pull” the hardware tightly into the mortise, or to one side of a mortise that was made a bit too large. In any case, I do not want a mark that will result in the screw pulling the hardware in the wrong direction.
The key is that you want that control. It’s that one-sided tolerance thing again. I love that concept.
Here is my low-tech, reliable method.
I use a scriber point or pyramidal awl to prick a starting mark for the drill bit. It is surprisingly easy and accurate to judge just by eye if the mark is centered in the hole in the hardware. Good lighting is essential, as in the first photo below. A crescentic shadow on the side of the hole will cause you to misjudge the center of it.
The mark in the photo below is actually centered but the shadow interferes with judging it.
Sometimes I use a fine point scribe (the two tools to the left in the photo below) to make a tiny mark to seat the point of a brad point bit. Other times I use my wonderful Czeck Edge awl (at right in photo) to start and enlarge a hole suitable to seat a twist bit. Twist bits are commonly available in more sizes than brad point bits, which is particularly helpful for using tapped holes and machine screws to mount hardware in wood.
This simple approach makes it easy to reliably make a deliberately off-centered mark. Just as important, it is also easy to move a mark made with a scriber or awl. Just stab the sharp point into the sidewall of the original mark and push or swish the tool to make a slightly bigger mark with a new center location.
How about self-centering bits (one brand is Vix bits)? In all the brands I have tried, there is always a bit of wobble of the drill bit within its housing. Even though I would drill squarely to the work surface, there is some random error in the location of the hole. The errantly drilled hole is then nearly impossible to “move.” Furthermore, there is no reliably controlled way to produce a deliberately off centered pilot hole. Depth control is also difficult or the depth is inadequate. Such bits have been banished from my shop for some time.
How about center punches – those that you tap and those that are spring-loaded in various ways? They avoid some of the disadvantages of self-centering drill bits, but all of the ones I have tried, even Starrett’s, also have some wobble of the scriber within its housing. They are faster than the low-tech approach I use but less consistent and, again, there is no good way to make deliberately off-center marks. Such tools also have been banished from my shop.
In summary, to accurately locate pilot holes for hardware screws, go low tech, use your skills, keep in mind the one-sided tolerance concept, and use the skillful adjustability of craftsmanship.