On the one hand, the answer seems to be no: if you’re not collecting information, then what is there to advise customers about? On the other, maybe the answer is yes: better to inform individuals that nothing is being collected than to leave them (and maybe even regulators) wondering why you’re not informing people about what you do with information.
Now, you might be wondering — does such a company really exist? Is it possible to have a website out in the world that doesn’t collect personal information? And the answer is, that really depends on what you mean by “personal information.” While in the U.S. we mostly think of “personal information” as your name plus some other identifying and sensitive information (such a credit card or social security number), the definition could also include cookies or other web tracking technologies that are common to the point of being ubiquitous. Indeed, information that web tracking technologies collect increasingly falls under the ambit of personal information subject to regulation).