My new perk weapons suggestion:
This perk would be oriented towards the use of already existing axes/chainsaw inside the game as melee weapon speciality (Lumberjack style!), and would go well alongside 'The Fireman's Almanac' (ex: Vol 3: increase attack speed with axes 5%) The speciality effect of the melee side of this perk with axes would be that it's pretty effective in decapitating/amputating zombies' limbs. This new perk's tier list of melee weapons would be as such:
1. Stone axe
2. Iron Fireaxe
3. Steel Axe
4. Chainsaw (still using gas can as ammunition)
Concerning this new perk ranged weapons, they would be oriented towards the use of incendiary weapons (pyromaniac style!), exploiting more for instance the burning effect of setting a zombie on fire (debuff of fire damage overtime) already existing in the game. The debuff of fire damage overtime would do more damage as you are investing more points into this weapon speciality. This new perk's tier list of ranged weapons would be as such:
1. Slingshot (uses common stones as ammunition, as weak as the stone arrows it would be!)
2. Lighter with Spray Can (could use coal or nitrate powder as ammunition, it would be like a flame thrower weapon, sending a row of percing fire setting every zombies on fire within the straight trajectory. Medium range.)
3. Napalm Launcher (could use gas can / gun powder as ammunition, it would be ressemble just like the rocket launcher weapon principle, except that instead of throwing explosing rockets doing direct high damage, it would throw a ball of fire doing an area of effect on impact, knocking down zombies, setting them on fire, and doing a lesser amount of direct damage on impact, all of this inside the area of effect. Long range. Would be very effective against big hordes and during blood moons!)
They could also remove the Explosive weapons (Perk) from Perception skill page (which doesn't make sense being there anyway when you think about it) and put it in that new perk instead, that would go well alongside with the philosophy of the pyromaniac using incendiary weapons and explosives.