I've spent many years in the survey/feedback "industry" and am probably the most opinionated person I know (smile). I have no problem sharing my thoughts, and I particularly have no problem critiquing survey constructs and the resulting feedback received.
A few random thoughts for you, whether you want them or not (smile, again) and whether they are important to you or not. They are random because I don't know your product, your particular level of involvement/interest, etc.
I run scared when I read things like "Unlike....currently well-known survey methods" as the well-known methods got that way for a reason...they work, they are actionable, they are built on statistics, normative data, etc. (NOTE: I'm not saying that your survey is invalid...not by any stretch of the imagination! I've never even seen your product. Just sharing with you where my head immediately went when reading your post. Hey, it's feedback!)
Does your survey construct address WIIFM (what's in it for me)? In other words, asking for feedback is one thing...what you do with the resulting data is quite another story. For a customer to WANT to provide you with data, what are you providing to them? The thought of "future, better service" is simply spin. If I provide you with feedback, I want to know that you care about my thoughts, my opinions. I don't much care if you ACTION my suggestions (that's your business), but I certainly want you to acknowledge my effort. The worst thing anyone can do is ask for feedback and do nothing. Unfortunately, this tends to be the norm. And I'm not talking about a "gimmee" here...you know, complete this survey to get $10 off your next purchase. I'm talking about someone from your organization contacting me to say "We are in receipt of your thoughts and opinions, and I just wanted to personally thank you for taking the time...". An email form-letter acknowledgement thingie is fine a time or two, but eventually, someone needs to reach out.
I'm interested in your statement re: traditional methods and that customers are not required to state their satisfaction. Does this mean that they are provided the opportunity? I agree wholeheartedly that this question/issue should not be required...but I would disagree wholeheartedly if they were not offered the opportunity to provide it. Know what I mean? I find that if a customer is inclined to offer feedback, they more likely than not want to also share their opinion of doing business you.
I hope I'm not coming across too much like the proverbial bull in a china shop...I certainly can have a tendency to do so! I'm glad that you posted, and glad to know of your organization.