I see no indication that the thing permanently sacrificed was the same thing fueling the Patronus. I think the Patronus burns “life” in the sense of one of the things Dementors also suck out, but that can be regenerated by resting (it was implied that the prisoners in Askaban would partially recover magic and something else if the Dementors didn’t keep sucking it out when the true Patronus gave Bella a weeks worth of such regeneration back), and it seems unlikely that such a loss to Patronus radiation would be more permanent than loss to Dementors.
I see no indication that the thing permanently sacrificed was the same thing fueling the Patronus. I think the Patronus burns “life” in the sense of one of the things Dementors also suck out, but that can be regenerated by resting (it was implied that the prisoners in Askaban would partially recover magic and something else if the Dementors didn’t keep sucking it out when the true Patronus gave Bella a weeks worth of such regeneration back), and it seems unlikely that such a loss to Patronus radiation would be more permanent than loss to Dementors.