Druid Starting Gear Issue

It looks like there is an issue with the Staff(Casting focus) for the 2024 Druid class.

When you create a 2024 Druid, the starting gear gives you Staff(https://www.dndbeyond.com/equipment/540-staff) which is for arcane casters.

But I believe it should give you Wooden Staff(https://www.dndbeyond.com/equipment/530-wooden-staff) instead.

Please let me know if this is correct because it caused issues with combat and even arguing that it should be a Quarterstaff since that's what is mentioned in the handbook:

Choose A or B: (A) Leather Armor, Shield, Sickle, Druidic Focus (Quarterstaff), Explorer’s Pack, Herbalism Kit, and 9 GP; or (B) 50 GP

But a Quarterstaff can knock people prone and such.

I know it's nitpicking but it would've changed how the fight would've ended.

Thank you very much.