That seems like a pretty good assessment. When on the mission field. They were the more evangelistic of the others, as far as the others were concerned. We were overwhelmed with both of the groups that you mentioned--Jesus Only, especially, and then also some of the Wealth/Health & Prosperity gangs. But in spite of their Arminian tendencies the AOG did preach the gospel saves, not baptism; and that the result of salvation was forgiveness of sins, not wealth.
this is one area think my pentacostal background has aided me while in baptist circles...
many of us lump ALL pentacostalists/charasmatics as being alike, while many are more baptist than we care to admit!
pretty close to Free will baptists IF one looks at how they view the HS and Gifts as "secondary" issue!