It's worth mentioning that every single known style of traditional Japanese swordsmanship includes thrusting techniques. Also, there's actually 2 different "styles" of cutting, and the katana is an extremely capable "draw cut" weapon in particular, but without losing the ability to thrust or perform cuts through impact force. Elements of the katana's design cater to all kinds of sword techniques, but it is biased in favour of slashing cuts as the "best" use of the weapon.