The 1:10 vinegar to water rinse is excellent! No need to rinse. I've been using a 1:7 to 1:9 ratio for decades. A dilute final rinse like that leaves your hair and scalp close to their natural (slightly acidic) pH - important for healthy hair and scalp!
I personally would never use anything stronger than 1:7. Even if you rinse it out, you are exposing your hair to a strong acid. And then, when you rinse it out, how do you make sure you aren't over or under rinsing and are leaving it slightly acidic? Plus, it just seems wasteful (to me) to use a 1:1 ratio, when a 1:7, 1:10 or even 1:12 (for delicate or dry hair) does the job.
I use BS, but not dry. I make up a quart of very warm water with up to 1/4 cup of baking soda (usually 1/8 cup, 2 tablespoons) disolved in it. I pour this through my hair, using care to make sure all the roots get soaked. Then I rinse well, and use the final dilute vinegar rinse.
If my hair seems dry and needs extra conditioning, I will put some jojoba oil in the vinegar rinse. I use something like 10 drops in a quart of rinse, and get about 4 uses out of that.
Oh, I've been using dilute vinegar rinse as my conditioner for over 20 years, and I've been using baking soda solution to wash for, um, I think it's three years now.