Pioneer54: "it makes sense to give the section or title to the player who has beat the one he tied with"

totally agreed, that's what I suggested in one of my previous posts

"I believe the S-B should remain the standard."

I dare to disagree with this one though, because in larger tournaments the SB does not necessarily honour the one who has beaten the one he tied with. If he has lost against the two runners-up and his adversary has "only" lost against the bottom player, then the SB will be in favour of the one who has lost the direct match.

Of course this is usually not relevant in small tournaments like those played on this site ;)

Addendum: though you can even construct a corresponding six-player-tournament:
R 1 2 3 4 5 6 Pts SB
1 x 0 1 1 1 0 3,0 7,50
2 1 x 0 0 1 1 3,0 7,00
3 0 1 x = = = 2,5 6,25
4 0 1 = x 0 1 2,5 5,75
5 0 0 = 1 x 1 2,5 5,25
6 1 0 = 0 0 x 1,5 4,25

Rather improbable, but still possible...