Actually you usually divide boxers into boxers, brawlers and sluggers (visit boxing forums like eastside boxing for instance). Ali was a boxer, Fraser was a brawler, Foreman was a slugger. Boxer beats slugger, slugger beats brawler, brawler beats boxer. Joe Fraser has an interesting discussion about it in one of his books - it explains a lot of otherwise strange results where A beat B, B beat C, C beat A.
In the case of BJJ submission vs points, it seems to me you have to be able to do both. If you can't takedown, sweep or pass (ie get points) you're not going to get in position for the sub. If you don't have at least decent subs then your opponent can work you because he knows no matter what you do he doesn't have to worry about being subbed. Think about working with a good wrestler just starting out in BJJ - because you know he's never going to sub you, you can try things you wouldn't dare try against someone with decent subs.
In the case of BJJ submission vs points, it seems to me you have to be able to do both. If you can't takedown, sweep or pass (ie get points) you're not going to get in position for the sub. If you don't have at least decent subs then your opponent can work you because he knows no matter what you do he doesn't have to worry about being subbed. Think about working with a good wrestler just starting out in BJJ - because you know he's never going to sub you, you can try things you wouldn't dare try against someone with decent subs.