I'm a Big Y match with a few surnames. I'd say each of these lineages and my own must have a common ancestor upstream from us.
That's one complication, and then there is the matter of NPEs, People who show up where you'd think they shouldn't due to adoptions, unwed mothers, what have you.
I need more people with my surname to do deep testing. Right now I share a terminal SNP with 2 other people, both baring a different surname. With more testing, potentially, our pedigree might lead back to immigration and beyond.