For super shiny wigs best way to knock out that shine is actually to colour it with the Acrylic ink/Isopropyl alcohol mix on cosplay.com
No one realised that is how my Shae wig was done. It’s a fairly flat colour but perfect for a wig with so much heavy hair. Originally ash blonde with dark underlayers.
It was a quality wig to start with so not super shiny. I did the same for my Jem wig (ridiculously shiny- used white to knock that back) and by default my Hintress wig. Both of those were wefted on caps by me as well 😉 Quite like wig making. I have some human hair to make a wig just need to decide what to make it for.