The vast majority of people using/practicing "CAM" are not claiming "CAM" to be "better" than modern medicine; they take a horses-for-courses approach.

Modern medicine is fine for acute illness where you need a medication or surgery to address an infection, break, blockage, etc.

"CAM" seems to be valuable for chronic non-life-threatening conditions like fatigue, pain, mild hormonal issues, mild auto-immunity, etc. It's also chosen by people who are quite healthy and want to keep it that way by optimising their nutrition, emotions, muscular-skeletal strength/alignment, etc.

So it's not a matter of what is better or worse than the other, it's a question of finding the right tool for the job. Every conventional doctor I've consulted in the past few years has endorsed that approach.