No, and that is why I included a explicit statement regarding Google.

At the same time, it would be silly not to admit Scholar is quite useful. Not everyone has a subscription to a large collection of academic journals and many papers are often published via non-commercial websites, as pre-prints, etc.

Imagine prohibiting Wikipedia editors from using Google Search when researching Wikipedia articles. If they are allowed to use it then that means Google has some control over what is cited in Wikipedia.