Sarranid Cavalry sword seems the way to go because of the range for sure.
As mentioned, often you can outrange people trying to hit you on the ground with their 2h.
Also not noted but noteworthy, in a cav vs. cav situation (where 1h has a disadvantage over lance usually), the sarranid cav sword can swing in front of the hitbox of the sarranid horse. While this isn't useful in a jousting situation because you will always lose, in a situation where you "pin" a lancer somewhere you can swing anywhere along your horse and still hit. I wasn't able to do this with the Nordic Champion sword.
On the ground, I use the sword in situations where someone is trying to outrange me (fighting against a 2h for example). However I recently started using a shorter weapon for the people that push into you (Steel pick), because the sarranid sword easily whiffs at extreme short range and has very little pierce damage