that’s what happens when you hire people not based on their talent but on nepotism
Ideally a C level executive should have deep connections with government/large companies.
This is how entire capitalism functions at the moment. Connections make you money, not merit.
Even if you hire the best CEO there is, without connections there is no possible way to make money. How do you think people get good contracts for their companies?
If that leaves you with no candidates, only then does it become an either/or tradeoff. Don't conflate the plan A with the plan B.
Aren't these the people running the company? So, yes?