My brother has a Wilkinson's Sword (actually I think it's in Dad's loft)….
No it isn't a razor, it's a cavalryman's rapier and it's bone-shape in cross-section aside for about 6" et the end which is sharpened and the blade is all engraved. It's amazingly flexible, we used to drop it tip-first onto the carpet, it would go through and embed into the floorboard and swing like an inverted pendulum.
If you think about it, the rather unpleasant use of it is to run people through when you are on horseback, so it has to flex to allow you to stab then pull it back out of your victim as you ride past which must put some severe bending stress on the blade (not to mention the stress for the poor sod who has been run through).
Until I realised this I assumed that all 'swords' were much of a muchness and just slicing weapons, in face there are a huge variety of sword designs all meant to carry out their grim work in different ways.
Neil