I don't know much about Lithium batteries (vs lead acid), apart from being lighter what else justifies the price?

I use my car about once a week on average, and for the rest of the time it's on a battery conditioner plugged into the 12v supply on the dash. I understand that Lithium batteries don't need conditioners as they don't discharge when not in use, but I guess there is still a small draw from the ancillaries even when the ignition is off - how long can it be left before it drains the battery?