I have never seen a difference in campaign A.I. between BI and vanilla R:TW, so unless Alex actually has worse campaign A.I. I don't think this would be an advantage of BI. The only strategic advantage of BI I know of are the navel invasions, which I consider a mixed blessing. Sometimes you get a serious invasion by a serious rival, but I've also seen small, undermanned, pointless attacks by factions that otherwise would have been at peace with me.