The No Tree Punching mod removes the campfire crafting recipe and instead uses in-world crafting: dropping sticks and a log, then using a Fire Starter on the dropped items, which then spawns a campfire on the world, already lit (which makes total sense) but that also burns forever, bypassing any configured fuel requirement of Campfire Overhaul:

The testing was done with the following mods:

I understand that since NTP changes the way to obtain a campfire it might not be possible to fix this on Campfire Overhaul's side of things, it's still worth reporting as I understand it.

It seems like I have no way of making it compatible from my side. I will add a config option for disabling infinite life time on world-placed campfires, but that would screw with village-placed campfires, so you'll have to "pick your poison".

Thank you for a detailed bug report! I will look into it and see if I can fix it on my side.