I wish you well. I have owned cars with clear coat damage and do everything I can to prevent owning another one. I can find plenty of opposing clips on the Internet. As I said, it is your car, and you can do what ever you want. Failed clear coat and paint was a horrible experience on 2 vehicles I owned.
Also note it says it will remove the wax, that is part of what is protecting your clear coat and ultimately the paint. Do you really want to do that? Detailers will use dish soap to intentionally remove the wax when they are going to re-coat (wax) the car and repair damage. It is not something that should be regularly done.
The following are those opposing views:
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A common question is: can you wash your car with dish soap? Just think about what dish soap is made for like removing grease and caked-on food.
resource-center.meineke.com
Consumer Reports offers these car washing tips for the do-it-yourselfer to make the paint sparkle without scratching or degrading the finish.
www.consumerreports.org
I know what you’re thinking it's cheap it’s a timesaver and it’s right by your kitchen sink Why wouldn’t you use dish soap to wash your car?
www.turtlewax.com
Pop quiz – when you buy shampoo for your hair, do you opt for the cheapest or one that is formulated for you? Well, funny enough, many car owners choose a soap for washing their car under the same criteria. Some choose the lowest price option, while others use car shampoos that are formulated...
avalonking.com
And many others. You can find anything to support any point of view on the Internet, it comes down to choices. Dish soap is not a choice I would make for routine washing. I would only use it to remove the previous coatings if I was going to change the type of coating and if I was going to evaluate the condition of the clear coat.