727 reving
If it doesn't kick down it's the kickdown linkage. Just needs adjusted. I set them up so when the carb is at wide open throttle the linkage is pushed back as far as it'll go. If it hangs in gears too long before it shifts back off a turn at a time until you get it where you like it.
Your right not to unhook the kickdown linkage cause it'll trash the trans. real fast. Anyway doing that would make it shift real quick and never have kick down so I'm not sure why anybody would ever want to do that. Makes no sense at all!