I am no friend of drugs in general and psychedelics in particular.
It might work to get out of a rut but, IMO, the risks (what dosage?) are not worth it. Certainly not without professional assistance (not a shaman). The new rut might be much worse than the old rut.
Yes, there is evidence that psychedelics can be useful. I agree that they can be useful to give a different perspective to quit a rut, as you wrote.
Still, according to experts and many anecdotes on reddit, psychedelics are very risky (unwanted bad effects) and not safe drugs and not miracle drugs.
The risk of bad short term and long term effects depends highly on the dosage and the personal mindset and the current environment. Nobody knows in advance how your brain will react.
I hate to say this, but I think you can't really speak coherently about psychedelics unless you have personal, first-hand experience.