It's striking to me that the difference for you between "my time is too important to stop" and "I was always trained to stop anyway" is just whether it's you or someone else that would get hurt from your actions.
No, I think stop signs are a horrible design flaw that we have to live with, and rolling stops are the least bad way to work around that urban design flaw.
It is asinine to force arbitrary stops at random intersections that have no time-of-day or traffic sensitivity (i.e. am I alone on the roads at 2AM, or are children walking to school at 8AM). Or to put them at intersections with clear cross visibility (what exactly is the stop for?). Or the 4-way stop sign mess.
It is totally reasonable to require full stops in the latter case, but silly in the former. Unfortunately, stop signs make no distinction between the two.
The only reason to fully stop at stop signs is actually the a pillar / b pillar blind spots, or obstructed view from the road. If you were hypothetically driving an open top car in an open neighborhood (or a motorcycle, bike, scooter, moped), there's no new "information" you'll gain by fully stopping rather than slowing down (where as if you have an A/B pillar blind spot, a full stop can give someone time to appear from behind it).