I don’t think (but I’m not certain) that Sleep As Android alarm times are synchronized with the Android alarm clock, in which case the OH app wouldn’t be able to pass them to the server.
Also, I’m guessing that by “smart mode intent”, @Confectrician meant Sleep as Android’s “Smart Period”. It’s a 45-minute period before your alarm during which the app will attempt to detect the best time to wake you. If you’re sound asleep, it won’t wake you until the alarm time. Otherwise, it’ll go off sometime in that 45 minutes when Sleep As Android thinks you’re almost awake. An OH plugin for Tasker would be perfect for this scenario.