Chat Availability Settings Should Apply to the Bot

I set my chat settings so that the chat launcher will hide outside of our business hours. Since I'm using a bot to greet and capture the name & email address of the person wishing to chat - my chat availability settings are being ignored. So I'm getting incoming chats when my sales reps aren't available. I'd like for the bot to hide outside of business hours, just like the chat launcher would IF I wans't using a bot.