If you really want a fire in wet conditions, then you carry an axe also. You can split down into a log to get to the dry wood in the middle so you have dry kindling. Once you have solid coals, the fire can dry out the rest of the wet wood.

Nowadays, fires are not generally an essential item when backpacking. 99% of backpackers carry a stove.

But for winter hiking, a fire can be nice. Hence the saw and axe I'm looking at. I've cut enough wood to know I don't want to cut wood with a hatchet. To tiring, too likely to result in injury. Cut with a saw; split with a hatchet.