That's not fair, you started with a three-dimensional object (not a point) in this balloon analogy and you used an outside source of energy to inflate your imaginary balloon.
Neither is applicable to the single-point theory.
Anyway, if your imaginary balloon keeps expanding, it bursts, and all the tiny pieces fall to the floor.
If it was that easily comprehended it wouldn't be the subject of such great inquiry.
I was trying to give you a three dimensional visualization of a multidimensional expanding space-time. Why objects appear to be moving faster as the distance from us increases.