In the vanilla game using cure poison seems to be a worse option than just healing. It tends to cost more gold and more inventory weight.

An example, using the weakest frostbite spider spit poison:
Vanilla: 3 damage per second for 3 seconds.
More Dangerous Enemy Poisons: 3 damage per second for 30 seconds.

Using a cure poison potion 1 second after being poisoned by the vanilla frostbite spider's spit prevents 6 points of poison damage. In this scenario, the vanilla cure poison potion cost you roughly 5.2 gold per point of health. Waiting for the poison to deal its full 9 points of damage and then using a vanilla potion of minor healing costs you roughly 1.9 gold per point of health. The minor health potion is a much more efficient use of gold, as well as weight. There is no real reason to deal with poison via cure potions instead of the healing potions you are already carrying.

Using a cure poison potion 1 second after being poisoned by this mod's frostbite spider's spit prevents 87 points of poison damage. In this scenario, the vanilla cure poison potion cost you roughly .36 gold per point of health. Waiting for the poison to deal its full 90 points of damage and then using a vanilla potion of vigorous healing costs you roughly .88 gold per point of health. The cure poison is 2.4 times more efficient than simply using a healing potion.

It should be noted that there is significant over healing in the vanilla example.

It should be noted that poison will suppress health regen, meaning ignoring the longer mod poison for its full duration loses a sizeable chunk of passive healing. 

In the mod using cure poison becomes significantly more efficient compared to vanilla.