The size of a haploid human genome is ~3.3 billion base pairs. It's true that if you were to compare the genome sequences of two humans they would be very similar overall, but it is the positions where there are differences that matter for lineage analysis.
.Ancestry looks at an array of ~700,000 variable sites (SNPs: single nucleotide polymorphisms) in the genome. However, each individual human is thought to carry 4-5 million differences from the reference human sequence, so WGS will extract more potentially useful information, maybe 5x SNPs.
The other advantage of WGS that I can think of is that it will extend coverage beyond SNPs to insertions and deletions of DNA, which will add to the number of variable sites.