"Skidproof"? Get a "posi-drive" and use modern screws! I know, I know – they are not as aesthetic as slotted brass. And cheap screws and screwdriver tips are rubbish.
All 'proper' screwdrivers (cabinet makers, gunsmith etc) called them something else. Turnscrews was the name and many were made to fit their own bespoke slotted screws.
Ordinary screwdrivers likely did not need to be precise – especially after the invention of the Birmingham type – along with soft steel screws which were made for single use only!
The only good thing going for slotted screws is that paint is more easily removed from the slot than posi or torx, etc.
If you can easily file the screwdriver tip parallel, it is probably carp quality. Tips for 'lectric screwdrivers usually have parallel tips, btw.
Who is now going to make a quality screwdriver, like yours, and expect it to sell these days?