Like any physician, or therapist, you really need to “shop around” and find one that your kid is comfortable with. Any one who does not require at least one session before the prescribe med is obviously not a good choice (for anyone).
I do agree that meds should not be the first choice for depression, anxiety, or ADHD unless they’re incapacitating.
That sounds like an excellent idea - especially since your other child will be able to see first hand how well your kid is doing.