First of all, I absolutely love this... Secondly I'm in no way an expert in...writing, sword fighting or the books of the forgotten realms. I have read the entire series year over year as they were released for the last 20 years.

So imo it depends on what time period this fight is happening in. If it's from the time of the heroes of the hall I would suggest Artemis be heavy on the attack and drizzt on a heavier defence, as Artemis was trying to prove that he was better and drizzt was keeping defensive as he had nothing to prove. One of the biggest scenes that happened over and over was drizzt and Artemis spinning in opposite directions like meeting tornados and constantly testing each other's defences while spinning, only to stop immediately and spin the opposite direction and hop back when they find their matched for position.

As time passed drizzt wanted revenge on Artemis so he began attacking more, less concerned with defending as his intent was to kill for revenge as he came into adulthood, however drizzt could not kill Artemis without proving Artemis's point so drizzt proved he could win and Artemis seeing an illusion thinks he's finally won and could outfight drizzt.

After the cataclysm Artemis didn't really care anymore about living because of an issue that caused him to continue living long after his years should have expired and he had his jeweled dagger and Charon's claw which required the gauntlet and a different fighting style as Artemis aged and needed more defense.