I don’t switch hands, switch sides of the blade and use a knife hold, scales straight with the blade, shaving backhand with my dominant hand.

I too learned with a square point and prefer them, the points are handy and take getting used too. You can have the point muted and later revived once you get the hang of it, or just learn to pay attention.

I have blades of all sizes from big Sheffield’s to thin trimmers, and they all give great shaves, there is something about a thin razor that does make it easy to get around my face.

If you can find a 6/8 in a hollow grind, I think you will be happy. Bottom line they all shave.