If your definition of prayer is as a reflective and contemplative practice... I have no quarrel. But if you mean it as some way of conjuring magic, or entreating or binding a supernatural force to perform a task for you... then I think you are wrong. Prayer doesn't change reality.
However, having been religious for decades myself, I recognize it does change how people behave. Praying often makes people think they have cover they do not have. Prayer can make people feel they do not need to take reasonable precautions. Instead, they trust that their favored status with a deity will provide what they need.
Beyond that, prayer often blames the victim. I heard a popular pastor state this morning that if a Christian catches the virus, it is their fault. If they had sufficient faith, sickness could not touch them. I cannot write him off as just a quack... I know many folks who give to his "ministry".
This is my personal testimony: I spent most of my life as a believer. I took my faith very seriously. I prayed.
I have been an Atheist for about the past 8 years. Haven't prayed in ages.
There has been no difference in the amount of fortune "that just couldn't be a coincidence". Just as much good and bad "luck" fall my way now as ever did.
Reality is as consistent as ever. The only thing that changed was how I approached it.