If what you are doing inspires (or can inspire) criticism, resist the instinct to paper over weaknesses. We fear undermining our point of view by talking about weaknesses, but actually it would help our case.
Over the years psychologists have compared one-sided and two-sided arguments to see which are the most persuasive in different contexts. Daniel O’Keefe at the University of Illinois collected together the results of 107 different studies on sidedness and persuasion conducted over 50 years which, between them, recruited 20,111 participants (O’Keefe, 1999, Communication Yearbook, 22, pp. 209-249).
The results of this meta-analysis provide persuasive reading. What he found across different types of persuasive messages and with varied audiences, was that two-sided arguments are more persuasive than their one-sided equivalents.
People are not idiots. Knowing how to persuade means acknowledging they can think. If you don’t mention the other side of the coin in your arguments, people are less likely to believe you.
Perhaps it might be a good idea to mention the shortcomings of your product or service on your website.