The reasoning behind the ad campaign is that if the ad price multiplied by conversion is below LTV, it's worth it.
This seems to be fine in a market with few other competitors, but in heavily contested categories (e.g., SaaS) shouldn't you be multiplying that by customer churn? Seems a bit presumptions to assume that once a customer signs up, they're going to spend 100% of assumed LTV with you and you only.