Mapping is very useful. I get the want to safeguard your data, but having smart navigation and obstacle detection just makes the product better.
Maybe mapping is very useful to you. The lack of it hasn't bothered me in the slightest. You also don't need mapping (or internet access) for obstacle detection. But I find that the old dumb roomba's bumpy nature is a good motivator to keep my place somewhat free of obstacles, which has other benefits.
YMMV.
Are you implying that internet access is required in order to have "smart nagivation" and obstacle detection? If so, could you clarify what you think the connection is?