A lightsaber is a super-heated gas, I.E. a plasma, but a strange force causes it to act like a solid. The blade is virtually invincible, because it's not actually a solid, but rather a gas.
Shardblades are a form of Investiture, which, by my own definition, is a "mysterious magical force surrounding everything." A very soft magic system that can be divided into several smaller magic systems, I.E. Shardblades, Allomancy, BioChromatic breath.
And lightsabers are actually exactly the same.
They're a weapon that works by the power of the force which causes their strange physics. The Force is a "mysterious magical force that surrounds everything." A very soft magic
system that, too, can be devided into several smaller magic systems, I.E. Force Lightning, making rocks float, viewing the future.
A Shardblade's hardness and cut-ness comes from Investitures. A Lightsaber's hardness and cut-ness comes from the Force.
Therefore, by definition, a battle between a Jedi and a Shardbearer would depend solely on their abilities
Which, in turn, means probably the Shardbearer, because Surgebinders rely on their abilities more than their weapon, they are often more adept at their own skills, whilst a Jedi relies solely on their blade, with the occasional force-push to spice up a battle.
I rest my case.
I'm not taking the pole, btw.