here several wooden weapon outside of quarter staff
Flail
the best bet for you to get wooden long polearms assuming this was use as warfare weapon
oar or paddle
from pacific island or polynesian made from very hard wood, even miyamoto musashi kill kojiro with wooden oar.
image from:https://issuu.com/webbs_house/docs/oceanic_march_2013/67
image from:https://commons.wikimedia.org/wiki/File:Maori_weapons,_Canterbury_Museum,_2016-01-27.jpg
(outside of the most upper one the rest is long wooden blunt weapon including the blunt wooden halberd or axe there, yes its pure wood)
here another image if you dont believe me
image from:https://commons.wikimedia.org/wiki/File:Maori_weapons_(tewhatewha),_Otago_Museum,_2016-01-29.jpg
i want to add more but it lag so hard, the rest is pretty much from polynesian wooden weapon and pretty much no different than oar or paddle or wooden naginata or halberd.
for why they use blunt weapon rather than stabbing, it probably they has upgrade plate armor to the point penetration or penetrating the gap is ineffective anymore, stuff like because the inner layer of the armor is strong enough to withstand stabbing, and so they need to use blunt to kill. (mind you plate armor not necessary made of iron or steel or metal it can also made from wood, or other materials like stone for example, though chinese do has stone armor, just not plate and more as ceremonial thing. if steel and iron technology is out of the question.)
or they are to agile and equipped with thick shield to effectively block the stabbing to the point blunt attack is far better to deliver damage either to the person or to break the shield, blunt swing is not necessary slow, it as fast as swinging other weapon, it just depend on the weight and inertia it deliver, spear stabbing has high chance to get missed unless in formation, at least blunt weapon attack can also disrupt the formation too, or breaking or cracking the spear if they land a hit, even if the spear not broken, the person probably get broken or dislodge arm from the force anyway.
or it just their everyday tool they have like the oar one, or just cultural thing, i dont know why, but most maori weapon is made of blunt weapon, usually wood as been shown in the image up there.
if your setting is not europe, i suggest copy the polynesian or pacific islands then, since it harder to create solid formation in an island with lush jungle, and where everyone use ship or boat (hence the paddle or oar as weapon), and the hot damp climate with lots of rain probably wont be effective for steel plate armor and a disaster for maintenance, besides with lots of wood, this can be a good reasoning of no metal armor or weapon, and so it make justification for wood plate armor or weapons, despite the cons like you cant reshape it back if it crack or break, but its better than nothing and you has a lot of wood source in the region.