if the technique could ever be used to pinpoint the ‘origin’ of the big bang?
There probably was no “origin point” because there was no singularity at the beginning of the big bang. The full universe may have been huge or even been infinite in size and even the observable universe had a significant size. There perhaps was a geographic center though, then and now.
Still, knowing the origin point would probably help pinpoint our own location within the universe and provide better measurements for the age of the things we see in every direction.
That would be the least of it. Knowing where a geographic center or boundary was would allow us to track absolute and not just relative motion. Then we could see what if any special properties apply to an absolute frame of reference.