You're the one who said "twice as far away as the big bang"
Anyways...
I think the original point is that indeed there are places you can't get to from here.
Assume space is expanding at 20% per year, just for example, and the fastest you can go is 1 light year per year.
In such a case, attempting to travel to Sirius (8.6 ly away) is a bad idea.
Completely ignoring the compound interest you'll suffer:
In the first year, you'll get 1 lightyear along on your journey, leaving 7.6, but in the meantime that 7.6 will have stretched to 9.1
Light trying to get here from Sirius will suffer the same fate, and we wouldn't be able to see it.