Every emulator over kaillera will DS.
There is nothing special about this emulator, in fact it's a faulty hex edited. Should of been done in an ASM editor and done properly so those graphic/audio errors don't popup on start.
The only reason why I can imagine it would appear to ds less than whatever other faulty copy is on pizzas site is because it forces your audio plugin to be Azimer's HLE audio, which was one of the default plugins for pj64k along with Jabo7. Chances are the person you were playing with also had Azimer's HLE audio, if you use seperate audio plugins as someone there is more chance of DS. Along with any external changes to the executable that result in excpectations, such as that graphical error which was done by removing the Default GFX plugin but didn't handle the programmatic checking of that GFX plugin being there.
The most accurate emulation over kaillera you can get is to have both playeres use the same build of GLideN64 with Jabo's 1.6.1 plugin (If audio plugins do not match, it increases chance of DS, same with GFX plugin but thanks to Suprafast Emulinker handles the networking issues that would cause this thus making the original pj64k's default forced plugins not needed).
www.pj64k.blogspot.com explains all of this in technical detail. LD also provided copies of PJ64 AQZ versions for that site, and he took the updated ownaclient from that site and put it in the copy you got.
Edit: As for not being able to host your brawlhacks, you need to update your RDB file. The blogspot is updated every once in a while, I know it has the RDB for sm64 multiplayer but idk if it does for brawlhacks64.
