I sweep the kitchen, dining room, and bathroom once a day, sometimes twice or 3 times (weekend days in summer when we are in and out of the house a lot).
Sure it is 10 minutes each time, and I don't mind the work, but at even just once a day, that is quite a bit over a week. I don't mind vacuuming tyhe carpet once a week, but the daily sweeping does get really old.
Someday when i am done moving house and no for sure that the house layout will work for the robot vacuum, I think we will get one. No different from a dishwasher or washing machine- sure I could do those things by hand, too. But I'd rather not.
Part of my motivation is that our 11 year old Dyson is losing some oomph, and we will be looking at replacing a vacuum one way or the other- I'd rather get a Roomba and keep the old Dyson for the occasional clean-up, doing corners, stairs, etc. Then replace the Dyson, still spend money on a vacuum, and still have to sweep every day.
I am on team Scrubby that crumbs underfoot drives me absolutely bonkers.