Yes I agree. The dandruff shampoo with the pyrythean zinc seems to work better than anything I've ever tried so far.
I use basically shampoo and conditioner for dandruff. I will put the link below, but I use this brand called Jupiter and it works pretty well. I can go pretty much a whole week. I might get a little itching, but it works fairly well. the main ingredient is zinc, pyrithirone
https://hellojupiter.com/sets/flake-free-duo/
Prescription shampoo
Olive oil treatment for 45 minutes, massage in.
Put up in towel .
Then wash.
It was a game changer from my granddaughter.
Head & Shoulders Shampoo works well for your situation. Also works well as a body wash and leaves your skin nice and smooth for all day long.