Operating with BasicMed, may pilot use a medication otherwise restricted under Part 67 Medical Regulations?
Looking at section 2307 of H.R.636, which is the congressional bill which implemented BasicMed requirements, it is clear that the physician who performs the exam, and provides care to the subject is responsible for determining what drug interactions there might be, as well as the impact of medical conditions, and whether they might be disqualifying.

Armed with this, my CFI student and I called a friend who is with FAA counsel, who does not address airmen issues, but rendered the opinion that BasicMed is separate from FAA Class 1, 2 and 3 medicals.  It is separate from Sport Pilot medicals. It is unto itself. Therefore it is their opinion that it was the legislative intent to create a separate certification process.

Therefore, the examining/issuing physician makes the determination as to any medical conditions or drugs and their impact on flying. He is the subject matter expert, and therefore if full disclosure is made, the airman has operated in good faith.

Of course, we were invited to submit an interpretation request, so that we could get an official response.

When talking with attorneys, and especially FAA attorneys (in their unofficial capacity) there many disclaimers, which include neuro, psych and cardio prohibitions.  And the importance of consultation with the issuing physician when there are medical changes.