Real Soap Does not Affect Chrome...
OK lets get a few things straight...very little of what we wash hands with is real soap...infact if you look at a bar of "soap" try and find the word soap on it...you might but most times not...soap is typically the combination of sodium or potassium hydroxide (lye), some type of fat, and water.
Most of what we call soap is detergent.
The ensuing reaction when they are combined causes the fats bonds to split leaving glycerin and soap and if the correct amounts are combined no lye will be left...real soap will not hurt chrome.
While the chemical process leaves what is call a salt, the soap and glycerin, it is not salt like what you think of. When sodium hydroxide is combined with tallow (beef fat) it results in sodium tallowate...
The chemical process is called saponification.
Most of what is bought as "soap" is the above process with the glycerin removed and sold to the cosmetics industry ...all kinds of other stuff is added to the bar...Potassium hydroxide is used when a liquid soap is desired...Sodium hydroxide when a bar is desired...
I am a soap maker / plumber...if any one is interested I can send you a simple recipe where you can make some of the best "real soap" you have ever used right in your kitchen...but this warning...if you decide to make it you may end up a soap addict...I am serious...real soap is like nothing you have ever used before...