If Draven Audacious dies in combat but gets revived by Zhonya's, does he give the point over to the opponent?

No, Draven, Audacious will not give the point to your opponent if he is saved by Zhonya's Hourglass.

Reasoning

The ability on Draven, Audacious reads: "When I die in combat, choose an opponent. They score 1 point."

According to Rule 366 and Rule 366.1, Zhonya's Hourglass is a Replacement Effect (identified by the word "instead"). It intercedes during the execution of a game effect that would kill a unit.

• When the game effect (such as combat damage) attempts to kill Draven, Zhonya's Hourglass replaces that event.
• Instead of Draven dying and being sent to the trash, he is healed, exhausted, and recalled to your base.
• Because the "die" event was replaced, Draven never actually "dies." Consequently, his "When I die" triggered ability never meets its condition to trigger.

Summary of Interaction

1. Zhonya's Hourglass is activated/revealed during the Showdown (before combat damage is dealt).
2. Combat damage is dealt.
3. The game attempts to kill Draven due to lethal damage.
4. Zhonya's Hourglass replaces the "kill" event. Draven is recalled to your base instead of being sent to the trash.
5. Because Draven did not die, his death trigger does not go on the chain, and no point is awarded to your opponent.