Two entities truly captured within a singularity would have no positional offset from each-other, nor volume to differ either. Yet for two things to push away from each-other, they must have either volume or position for physics to determine which direction they should push each-other in. So it seems that because physics did decide which direction different entities would be expelled toward in the first instant of time after the big bang, the elements must have some positional offset from each-other.
Perhaps I haven't articulated this very well, but it just seems that for a singularity to expand, there must be some positional relationship other than zero in every dimension.
Even considering the HUP, I'm having trouble understanding it. Because HUP's behavior can be demonstrated in Feynman diagrams, but I don't think those diagrams support two entities trapped in zero volume and zero offset. There's always a positional relationship involved in the interaction, and it seems this is built into the very way physics works.