Yes, Alia Crum and Ellen Langer did a similar experiment to test whether physical exercise can actually be unhelpful if the person doesn't believe it IS exercise. They tested it on hotel housekeepers: gave some of them a presentation on how their work provides healthy exercise and the control group got nothing. The group that got the presentation improved on most of the parameters they measured. https://pubmed.ncbi.nlm.nih.gov/17425538/

​

It has also been tested with painkillers. If morphine is administered by a hidden IV after thoracic surgery patients don't experience as much relief as the ones who get it from a doctor (thus aware of it when it happens). They also tested it on Parkinson's disease treatment, hypertension and anxiety.

https://psycnet.apa.org/record/2003-07872-001

​

And as others have mentioned, there are also studies on nocebos, that actually generate negative effects rather than just blunting the effects of a treatment.