If you're doing anything more complex than a shish-kebab, cooking without the proper utensils is not even possible.
A cook book on the other hand is going to be more situational. Need to prepare a special dish for the king? It may be a straight +1 or +2 or give advantage. But other things could also do it, like finding out that the king is tired of all the fancy Lamb Salad with Fregola or Scallop Sashimi with Meyer Lemon Confit. What the king really wants? Porridge that reminds him of his mother's cooking.
In other situations having access to a specific cookbook could be a requirement for success because you're trying to cook a specific dish from a far-off country to impress the ambassador of a nation that is threatening war.
So basically, I would not tie any specific bonus to a cookbook, or lack therein. That doesn't mean it won't be useful under certain circumstances.