Al,
I hear what you're saying.....
The Commentary has this to say AWS D1.1:2006 C3.2.4:
"CV ower sources have volt-amper relationships that yield large current changes from small voltage chnges. Constant current (CC) power sources have a volt-ampere relationship that yield small current changes from large arc voltage changes. Best welding results for FCAW and GMAW are normally achieved using CV output. CC may be used for either FCAW or GMAW, providing WPSs are qualified by test in accordance with Section 4."
Regarding Short Ciruiting transfer(GMAW-S), the Commentary has a good description in the 2006 version of D1.1 C3.2.1