So if I were going to US to work on my own business temporarily, I'd either go as a tourist or say, "Oh, I'm from Nandemo Ltd., and will go to a business meeting with SP_ Corp, here's their invitation letter". That's similar to what I did when I went to US for a job interview at the headquarters of X Corp. trying to get a job at their Tokyo office. If I had said I was coming to a job interview they wouldn't let me in; even though I had no intention to work in US.
One must be out one's mind to volunteer unnecessarily detailed information to the immigrations officer. Given that there are millions of illegal immigrants actually working for American employers and not getting deported, the odds that a web developer working at home would be deported seems pretty slim.