Hi NS,
most doctors would acknowledge that the 'white coat' and (unused)stethoscope can be an important part of the treatment. Drug trials often show little difference between the drug under test and the placebo (though both may be effective).
Psychological effects can have an enormous effect on the healing process and are not well understood, but the placebo effect is very real and homeopathy seems to exploit this to good effect.
Or exploits it to very very bad effect.
I find the use of placebo, which as Sriram rightly points out we don't understand, to back up an argument for something that performs no better than it, just bizarre.
If this is, and I suspect you are right, about psychology then we should not be dressing it up in clothes for a real effect from shaken water. The claims being made for homeopathy are precisely snake oil claims since the same would literally be true if snake oil. Investigate placebo certainly, don't use it to give faux respectability to claims that are not validated.
There are too many exploitative wanks across the Web and in real life waving their 'cures' and telling people to throw away their treatments to ignore. This sort of stuff is not only no better, it is way worse than the dangers of the anti vaxxer loons.