There doesn't seem to be any valid evidence to suggest that homeopathy is any better than prayer, both can be seen as having the placebo effect.
If prayer only has placebo effect, how come there are people who, having been told that a tumour or some other condition is untreatable/terminal and that treatment will not be given, recover to the extent that there is no sign of it at subsequent tests/reviews? And think carefully before you offer a 'magic' solution such as 'spontaneous healing' for which there is no scientific evidence.
Because either the medics got it wrong, which certainly happens from time to time, or the body's own healing mechanisms kick in from time to time and a spontaneous cure is the result. Prayer could act as a placebo, so when people like you claim the deity has cured someone they feel smug. However, just suppose you are right and the deity can cure people if it so wishes, but more often than not it doesn't, what does that say about it?
We have a case in point at present, that poor lady, Becky, AB's friend has had many prayers said on her behalf for her recovery. If the deity could heal her why hasn't it? Her family must be going through hell with her taking one step forward and ten back!
That is CRUEL.