I see any coning on the outside, as counter-productive as it moves the powder away from the flash in the pan. this is in comparrison to a whitelightening liner, in which the powder is separated from the pan by a thin web of steel. If that web was thick enough to allow any dishing on theoutside, it may increase ignition speed in THAT gun, but the powder is still much farther away from the pan than a vent that allows powder right beside the pan. When you glance at a WL liner on a laoded gun, you can see the main charge powder - just ichin to ignite.
The problem with external cones, in my experience, is that they are more prone to flashes in the pan if they have any fouling the the external cone or even not. I have had unexplainable flashes with external cone vents. I have never had an unexplainable flash with the WL/English type.
The late English locks have vent wipers and the vents were remarkably like the White Lightning since they are apparently what the WL is based on.
I do know that with the vent wiper and the WL style liner a flintlock is VERY reliable. The only thing that will produce a flash is if a flake of fouling gets into the liner and blocks the vent, the rifle will flash and then its necessary to break the flake of fouling with a pick or grass stem (I seldom carry a pick). This is the only thing that has caused the rare flash in several hundred rounds with this rifle.
The only other factor is wind. In reading old accounts I heard of people claiming that the wind blows the fire out of the pan of a FL, it can happen if the wind is strong enough. It is more likely with a "simple vent" than a good liner but neither is proof against it.
I KNOW that SS liners are not HC. But I don't care. The rifle has to WORK. Along with some others here I hunt areas where there are large carnivores with bad attitudes at times. You just don't knwo what time.
Then there are places where the bears come to gunshots.
So the person that shoots in matches or re-eneacts has a different view so reliability than I do. I also don't like conducting a long stalk perhaps a mile from spotting to the shot and then having a flash in the pan.
I started shoot FLs 40+ years ago and have used "plain vents" but not in the last 30 years or so.
As Daryl mentions here, when I load a WL I can see main charge powder within .020" or less of the pan. The Nock breech rifle often has a granule protruding from the vent after loading since the vent is over .065" on this rifle.
Dan