The original fuels used were both toxic and extremely volatile, and using something else may work "unexpectedly", so not a good idea either.
Also, it's a replica rather than a fixerupper original, so, it's built purely as a glider already. Empty weight a mere 285kg rather than the 1905kg of the original(before fuel and ammo), and even the originals were decent gliders as it was how they were supposed to get back to base after they ran out of fuel and the design was actually based on glider concepts as well.
And the -262, that is just one impressive bird. In the late 40s/early 50s, a consortium formed to make an upgraded version of it to compete for a US fighter contract. It was disqualified by default for not being a US design, but modern computer simulations of the suggested upgrade says it would likely have dominated the fighter that got the contract.
I've forgotten which fighter it was meant to compete with though and difficult to figure out because of the mess the US fighter programs were first decade after WWII(so many different fighters in serial production...).
And not to forget, looks good.