"If I followed the advice of this video, especially about keeping 4 feet away from parked cars to avoid dooring, I would be taking the lane. This would piss off a lot of motorists, but there's no doubt I would feel a whole lot safer. Am I doing the wrong thing by clinging to the right and hoping that no one doors me?"

If there are two lanes in your direction of travel, you will be surprised how few cagers are inconvenienced by you taking a lane. It won't be a sudden realization at the last instant by the driver that there is a slow vehicle ahead of him. The moment you are seen by them, they will immediately begin negotiating a lane change.

There will always be the few who get angry if they are delayed, but then they would react the same way to any other slow vehicle: a street sweeper, garbage truck or school bus for example. Take the lane, you'll be glad you did!

Incidentally, you will also reap a safety benefit by being more visible to pedestrians stepping into the lane to gain access to their car, folks coming out of driveways, and getting right-hooked at intersections. The only hazard that you remain exposed to is inattentive driving, but you are exposed to it nearly to the same degree riding to the right.

For reference, I have traveled more than 5000 miles on my bicycle this year in the greater Dallas area, primarily urban and suburban roads, and I always take the lane. Almost all of those miles are solo as well. If they honk or yell at you, it means they see you!