It has been some time since I visited the bulb design of the ST, and I obviously didn't remember things correctly. Some of the text below is copied from a post I made to the ST Owners forum.
When a bulb went on my ST a few years ago I researched this as best I could. Below are pics of an OEM Honda ST1300 bulb and a typical H4 side-by-side. The Honda is on the left.
I keep a small inventory of H4's, because they fit our '93 CB750 Nighthawks and the Kawasaki Z-1's in which I've installed aftermarket Halogen headlight assemblies. There are two physical differences that I've been able to ascertain:
1)The positions of the tangs. The pic of the two bulbs side-by-side clearly show that the tabs that are at approximately 4 o'clock and 8 o'clock are angled differently between the two bulbs. The bulb on the left is OEM Honda. The bulb on the right is standard H4. Also note that the top 12 o'clock tab on the OEM Honda bulb is slightly wider than the standard H4.
2) Not as apparent, and difficult to photograph, is the fact that the glass body of the OEM bulb/filament assembly is rotated slightly clockwise on it's vertical axis, relative to the 12 o'clock tab, because the rectangular cutout in the steel base where the glass envelope enters the base is, also, so rotated, pointing to about 1 o'clock and 7 o'clock. The two new OEM bulbs and the one I removed from service all exhibited this rotated orientation. All of the H4 bulbs I checked were true to the 12 o'clock/6 o'clock orientation. The result is a slight clockwise rotation the bulb/filament assembly relative the flat in the steel base.

The on-axis rotation is obvious, but why is it present? My best guess is to modify the resulting beam patterns. It'd probably be a subtle difference, but we all know how, uummm... precise mama Honda likes to be about such things.
But...
If we look at the bulbs as installed in the headlight assembly, we see that the flat in the hole of the reflector in which the bulb base seats is not oriented exactly plumb horizontally. It's rotated slightly CCW relative to horizontal, resulting in the bulb/filament assembly being returned to the 12 o'clock/6 o'clock orientation relative to plumb vertical! This would seem to negate the need to have the bulb/filament rotated in the base if the flat in the reflector hole had been exactly plumb horizontal to begin with. It would also cause a standard H4 bulb to be rotated slightly CCW relative to vertical (11 o'clock/5 o'clock). I don't know what, if any, noticeable effects this may cause in the resulting beam pattern. If anyone has an explanation of the bulb/hole rotation I'd like to hear it.
I do acknowledge that a shim will shift the beam slightly. Posts by other ST owners indicate that the stability of a standard H4 bulb that has had it's tabs removed is unstable in the mount.
In hindsight, one thing I didn't do was to photograph both bulbs from a horizontal perspective when they were side-by-side, to ascertain the relative orientations of the low-beam shields when the bases of both bulbs were aligned identically. I'd like to know the on-axis position of both shields relative to the 12:o'clock tabs. That knowledge would simplify determining if the LED F2 shields would be properly oriented for the ST's reflectors.
What I'd like to see now is a side-by-side comparo of a standard H4, an OEM Honda ST1300, and an F2 LED, to ascertain the relative positions of the shields.
Sorry for the hijack. We now return you to our regularly-scheduled thread.