Is there any time dilation in the same reference frame as where the singularity is forming? (I'm running on rules of thumb rather than a genuine understanding

Is there any time dilation in the same reference frame as where the singularity is forming? (I'm running on rules of thumb rather than a genuine understanding of GR: I would normally answer "no", but "frame of reference" might not be a useful concept where a singularity is forming) It is kinda neat that the only time where a singularity has formed is contained within the place where the singluarity formed. That isn't even yo dawg.