Yes - peak = visor Peak's a British word I think.

He certainly did ! In 4 years he got as far as Danville !

BTW just to back to the OP's question, here's a few berets through the years !

French Chasseur Alpins late 1880’s:-



British Para pathfinders, before D-Day 1944



Cap GS 1943 – ugliest hat in the British Army !



British Commandos – Falklands 1982:-



US Special Forces