The Chapman stance is basically a Weaver with the gun arm locked out. Cooper shot with a bent right elbow. Thus a controversy arose as to which was better. In fact, Cooper couldn't lock his right arm straight, due to an injury to his right elbow (he fell on ice and smashed it).
In my opinion, one's pistol shooting stance should look a lot like one's empty hand stance--just with the pistol raised to eye level. The situation is probably going to start with an empty-handed startle response. If one's default is American boxing, then the stance will probably look Weaver-ish. If one's training runs along other lines, then it may be more squared up and Isosceles-ish.
The notion of the Weaver-ish stances carrying over to long gun usage is kind of valid. Generally though, when armed with a long gun, one is on the offensive or, at least, acting in a more proactive way. Thus one can use whatever stance offers an advantage (such as the current support hand WAY out front). The handgun, carried because it is convenient and concealable, will most likely be used in a defensive, startle-response manner. Again, the stance taken will tend to mirror one's empty-hand stance.
Rosco
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