what are the pros and cons of axes vs. folding saws for camping trips /out/

i recently got a folding saw and i feel dumb for falling for the ax meme since i primarily wanted the axe to chop apart thick branches for my fire but i ended up almost always using it as a hammer.

whereas the first time i tried the folding saw i felt like a new man. i easily cut through branches twice the size of my arm while bearly getting winded, where as with the axe i had to constantly take breaks and i felt exhaused afterwards.

i feel like scrapping my axe altogether now. i hike everywhere and weight is really an issue.

i'm fairly new to camping though, so maybe there's a use to the axe that i haven't figured out yet. should i still carry it around with me just in case or should i give it up?