Many Canadians and PRs make money abroad while living in Canada. Sure the FAQs will be updated eventually but why would it make sense to send money abroad? The benefit was created due to job losses in the Canadian economy and to benefit the Canadian economy. CERB is basically meant to provide some income to those workers in Canada who do not qualify for EI.
I understand what you mean but as the law stands right now, if you go by the eligibility requirements mentioned, there is no requirement to be physically present in Canada. I also doubt the FAQ will be updated now because they have already started accepting applications.
No one is forcing you to apply if you are abroad and you feel you don't deserve it but Canadians abroad are definitely legally eligible to apply as of right now. No idea if this will change in the future but if the Govt doesn't want Canadians abroad to apply, then they need to add that as an eligibility requirement.
Again, I agree with you in principle that it doesn't make sense to send money abroad but that's for the government to decide and put it in their eligibility requirements, not us.