
This card is curious to me. It seems to fit a similar slot as Physical Training or the other talent cards. By itself it does nothing but spending a box gives a bonus to a skill for a resource. The down side is it uses a 'hand' slot and only applies to combat. Spending all your resources for a plus one combat bonus is nice but risky.
Machete is obviously the best hand to hand combat weapon. But let's compare Fire Axe to others readily available to survivors (as of Dunwich).
Baseball Bat the other survivor card is powerful, cheap and gives a massive plus 2. Unfortunately it is subject to breakage with and uses 2 hands.
At the same cost Knife gives a simple plus 1 or can be thrown for plus 2 fist and damage! Cheap and easy for a disposal weapon which along with baseball bat synergies with Scavenging.
Kukri saves two skill checks required to do two damage over two actions. Its nice but perhaps gimmicky.
All the weapons have a downside however Baseball bat is obviously superior. If you have that hand planned for something else, say Agnes Baker with Ritual Candles it isn't a bad call. However i would possibly be more keen on knife with scavenging or kukri as Fire Axe does nothing on it own.