I love this idea and I believe it'll be great. However, wouldn't it just be better to just teleport SSD people to cryo and instantly store them after 10 minutes? The teleporting process would take like 30 seconds so if you see someone being tp'd you can drag them and it resets the timer if you know they're coming back. No need for a bot and it kinda makes sense, and it can't be abused in any way because it just removes SSD from the round.
If that isn't happening, yeah do the bot. However, have him phase through doors or something because even a split second is enough for anyone to pass through the door.