But the down side of fuel is that it runs out.

My bug out bag wishlist has Gerber Gator Combo Axe II [22-41420] https://www.amazon.com/dp/B000C0RKYM/ref=cm_sw_r_cp_api_i_TCW.CbBBN301X

Currently I have an older, heavier 36” wooden handle wood axe.

It's a sign, you should get a replacement if it was useful. Was it this? Gerber Gator Combo Axe

How heavily did you use it?