I took advantage of the mixed initial reaction and ordered an ever-so-slightly-used-then-returned 360 Eye at a bit of a discount, and I have to say so far (about a week) I love it. Really impressed, and very happy with my choice.
I'll write up some more details on what the product does well and what its weaknesses are, but in the meantime I did want to share an illuminating anecdote: I told a friend of mine that I had ordered a robot vacuum, and I said it was a Dyson, and her immediate response was, "Well then it's of course going to be awesome!" She is a teacher with little to no technical expertise, and knows very little about products in this space.
I think iRobot has some meaningful tech advantages with the Roomba, and their brand is pretty strong, but that says a lot about Dyson's reputation.
third_deg, I am very much looking forward to seeing the tech you've hinted at (and your username hints at…). The Roomba AeroForce extractors are a great innovation that I have to imaging you're rightly proud of. You're starting at a brand deficit compared to your two top competitors — Roomba and Dyson, the rest of the names (including "iRobot", who the hell knows that name) are not household names, at least in the US — but if you have an unshakeable focus on building positive experiences for your customers at every moment, then brand will follow. Good luck.