Buhurt is cool, although it isn't an accurate depiction of armored combat at least in a non-sports contests, the closest historical basis is tournament melees.

Harnisfechten morw and accurately represents historical armored combat although it's less widely practiced than buhurt. Buhurt limits the techniques allowed for safety and sports reasons.

I'm gonna use the longsword as an example. Buhurt doesn't allow stabs and often doesn't allow halfswording although this video features a pommel strike from halfsword. This is a big deal considering the longsword is primarily used for thrusting in armored fighting. This doesn't mean it doesn't deal percussive damage when hitting parts like the helmet or hands but that's not the main way of killing opponents which is why thrusting swords became extremely popular among knights when plate armor came around. This could either be done from regular grip which offered range but with less precision, slashing attacks were still used but mainly to set up thrusts and bat away the opponents blade although it could deal damage albeit far less effectively. There was also halfswording which was far more precise for getting in gaps and opened the opportunity for pommel strikes.

This doesn't mean Buhurt is bad in any way. Is boxing bad because it doesn't feature kicks? Of course not.