There are disagreements about the very concept of singularity. Suppose you are approaching 1/x from x = 0+ and moving towards x = 0-, what happens? You encounter a discontinuity that is suddenly from + infinity you move over to - infinity. That's the discontinuity singularity creates. Thus comes the brlliant stroke aka worm hole! You see seeds of disagreement? Big Bang Cosmology does not say "infinite at the beginning". That appears to be your alternative take.