Time to abandon the notion that a good genealogist presents a pedigree as Authoritative Revealed Truth. Good genealogists know better! Use the WikiTree profile text to provide a nuanced discussion of the uncertainties (e.g., no birth records), the available evidence and what it could mean, how the evidence been interpreted by various authors (if relevant), any theories that are contradicted by other evidence, etc.
If I understand what you are saying, the evidence is that the executor for the will of Giles Whiteaker was Rice Whiteaker. To this suggests that they were related, and Rice could be a son, but that's not definite. What else does the will say?