I think you will find that most guys and most manufacturers will advise you to go through the bridge.
The reason is the way that flats are constructed. The sharp angle that happens when you go through the body and over the bridge saddle can actually break the wrap on some flats and then the string is ruined.
Having said that, I have a Lakland DJ5 strung with DA Chromes that I pretty much HAD to string through the body and I've had no problems at all.
The B string on that set is .132 and it's so big I literally could not get the end of it through the bridge hole...the silk wrap simply would not fit.
Luckily I won't have to think about that again for a year or so
