Just sayin'

.... A study from Australia has managed to prove that fly offspring are able to resemble a mother’s previous sexual partner, even when conceived with their father’s sperm.

The idea of telegony, or previous mates influencing a woman’s offspring, has been around for centuries. It was first proposed by the Greek philosopher Aristotle and was accepted as science until the early 1900s when it was disproved and replaced by more modern genetic theory, according to the study's press release. Unfortunately, the theory was largely used as a fear tactic to prevent women from copulating with different races or lower classes, but the study suggests the theory may have some elements of truth — for flies, at least.
The researchers are not yet sure about why this phenomenon occurs but believe it may be due to molecules in the seminal fluid of the first mate being absorbed by the female’s immature eggs and then influencing the growth of offspring of a later mate. This finding only adds to the already complicated field of genetics. Scientists are only just beginning to grasp the concept that offspring genetics are influenced by non-genetic factors, such as their parent’s diet. “Our new findings take this to a whole new level,” Crean said.
Not sure what this may have to do with paternal tests. Are there false positives? Is that possible?