I would think that would work, these type of NST are mid point grounded so it's basically a center taped transformer with the center tap at ground and due to there construction they self current limit, at least the transformer types, i dont have any experience with the switcher units that are now mandatory in new installations for neon.
I have 5 of these types of transformers and i can do a test with a variac if need, mine are made by fransformer are are a different mounting style from the one in the video that he made.
That said i would still not be comfortable with a that type of transformer and would want the floating pole to be covered over with a insulating cap. NST transformers generally are higher voltage but a 5kvac unit using the case min point ground and one side should be 2.5kvac. I have one NST that is 15kvac terminal to terminal and seems to be half the voltage from terminal to case.
i would not use an ignition transformer from a fuel oil furnace, NST where usually more reliable
but for what it's worth thats my 2 pennies worth
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In a popular government when the laws have ceased to be executed, as this can come only from the corruption of the republic, the state is already lost. Montesquieu