Fyraltari watches The Clone Wars (2008) for the first time

[Peelee]

In the newcanon, plenty of "regular Jedi" have double-bladed lightsabers

In Legends as well.

Not commenting on lightwhips as those are dumb.

True, maybe it's a limited restriction applying primarily to students. Theoretically, the idea would be that you have to qualify on the base model before you can move on to more advanced designs. Lots of actual law enforcement organizations work that way; everyone has to train with the service pistol, but you have to take advanced courses to use rifles or shotguns.

What source are you pulling from?