Potassium’s therapeutic window (the difference between effective dose and lethal dose) is relatively small. The FDA limits OTC potassium supplements to 99 mg per dose due to safety concerns like hyperkalemia. You'd need to take about 48 pills to meet the recommended daily amount of 4,700 mg, making it impractical compared to getting potassium from food.
If people cannot do arithmetic, they may induce hyperkalemia:
Journal of Medical Toxicology, 2013: "Life-threatening hyperkalemia from cream of tartar ingestion"
https://sci-hub.se/10.1007/s13181-012-0255-x
Case reports: In both cases, individuals ingested a large quantity of cream of tartar in an effort to "clean themselves out". They manifested similar initial symptoms (vomiting), abnormal serum potassium (>8.0 mmol/L), and EKG's with peaked T waves. Both patients were treated for hyperkalemia and recovered without complication.