your maths is wrong young grass hopper.
the starting tds has nothing to do with it, because the amount of impurities removed is not what they're talking about. Its the amount of impurities left over that you need to compare.
So - the PPB system actually removes 0.333% (One third of one percent) more dissolved solids from my water - - instead of 1000x better its actually 0.00333x better.
They are not saying that their PPB system removes 1000x more impurities, they are saying the resulting water is 1000x more pure, these are very different things.
If you had water that was 1ppm, what would be 1000x purer than that? It would be 0.001 parts per million, which is 1 part per billion.
To use another example, if you had water that was 10ppm and you wanted it 10x more pure, its pretty obvious that you would want it to be 1ppm. You wouldnt say you had to remove 10x as many impurities, because how much you remove depends on what you started with. In fact you simply couldnt remove 10x as many impurities because there arent that many impurities left. (If you started with 300ppm and ended with 10ppm, you removed 290ppm. But you couldnt remove 10x that - 2,900ppm because the water was less than that when you started)
As I say, its not about removing 1000x more impurities, its about there being 1000x less in the remaining water. Water that is 1ppb really is 1000x purer than water at 1ppm, that's not marketing, that's a simple fact.